arccot(x) derivative | What is derivative of arccotx and cot^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arccot(x).

arccot(x) derivative

Derivative of arccot(x)=$-\frac{1}{1+x^2}$

👉 $arccot(x)=cot^{-1}x$

👉 $\frac{d}{dx}arccot(x)=-\frac{1}{1+x^2}$

👉 $\frac{d}{dx}cot^{-1}x=-\frac{1}{1+x^2}$

Answer : $-\frac{1}{1+x^2}$

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arctan(x) derivative | What is derivative of arctanx and tan^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arctan(x).

Derivative of arctan(x)=$\frac{1}{1+x^2}$

👉 $arctan(x)=tan^{-1}x$

👉 $\frac{d}{dx}arctan(x)=\frac{1}{1+x^2}$

👉 $\frac{d}{dx}tan^{-1}x=\frac{1}{1+x^2}$

Answer : $\frac{1}{1+x^2}$

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arccos(x) derivative | What is derivative of arccosx and cos^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arccos(x).

Derivative of arccos(x)=$-\frac{1}{\sqrt{1-x^2}}$

👉 $arccos(x)=cos^{-1}x$

👉 $\frac{d}{dx}arccos(x)=-\frac{1}{\sqrt{1-x^2}}$

👉 $\frac{d}{dx}cos^{-1}x=-\frac{1}{\sqrt{1-x^2}}$

Answer : $-\frac{1}{\sqrt{1-x^2}}$

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arcsin(x) derivative | What is derivative of arcsinx and sin^-1x?

Greetings dear friends. In this article, we will share with you what is the derivative of arcsin(x).

arcsinx derivative

Derivative of arcsin(x) = $\frac{1}{\sqrt{1-x^2}}$

👉 $arcsin(x)=sin^{-1}x$

👉 $\frac{d}{dx}arcsin(x)=\frac{1}{\sqrt{1-x^2}}$

👉 $\frac{d}{dx}sin^{-1}x=\frac{1}{\sqrt{1-x^2}}$

Answer : $\frac{1}{\sqrt{1-x^2}}$

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arctan(sqrt(x^2-1)) derivative | What is derivative of arctan(sqrt(x^2-1)) or tan^-1(sqrt(x^2-1))?

Greetings dear friends. In this article, we will tell you how to take the derivative of the arctan(sqrt(x^2-1)) expression. We wish you good lessons...

$arctan(\sqrt{(x^2-1)})$ derivative

Let's take the derivative step by step:

👉 $\frac{d}{dx}tan^{-1}x=\frac{1}{1+x^2}$

👉 $\frac{d}{dx}arctan(\sqrt{(x^2-1)})=\frac{d}{dx}tan^{-1}(\sqrt{(x^2-1)})$

So we will first take the derivative of arctan. Then we take the derivative of the interior and multiply it.

So;

👉 $\frac{d}{dx}tan^{-1}(\sqrt{(x^2-1)})=\frac{1}{1+(\sqrt{(x^2-1)})^2}.\frac{1}{2.(\sqrt{(x^2-1)})}.2x$

👉 $\frac{x}{x^2.(\sqrt{(x^2-1)})}=\frac{1}{x.(\sqrt{(x^2-1)})}$

Answer : $\frac{1}{x.(\sqrt{(x^2-1)})}$

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cos(arcsinx) derivative | What is derivative of d/dx cos(arcsinx)?

We wish everyone a good day. In this article, we will tell you the derivative of the cos(arcsinx) expression. We wish you good lessons in advance...

cos(arcsinx) derivative

Derivative of cos(arcsinx)

First of all it is equal to cos(arcsinx)=cos(sinx^-1) . Here we will take the derivative.

👉 $\frac{d}{dx}cos(arcsinx)=\frac{d}{dx}cos(sin^{-1}x)$

👉 $\frac{d}{dx}cos(sin^{-1}x)=-sin(sin^{-1}x).\frac{1}{\sqrt{1-x^2}}$

👉 $-sin(sin^{-1}x).\frac{1}{\sqrt{1-x^2}}=\frac{-x}{\sqrt{1-x^2}}$

Answer : $\frac{-x}{\sqrt{1-x^2}}$

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Sec(x) derivative and integral | What is the 1/cosx integral and derivative? (secantx)

Hello everyone. In this article, we will tell you the derivative and integral of sec(x). We wish you good work.

sec derivative and integral

Sec(x) Derivative

$sec(x)=\frac{1}{cosx}$

$\frac{d}{dx}secx=\frac{d}{dx}\frac{1}{cos(x)}=\frac{0.cosx-(-sinx).1}{cos^2x}=\frac{sinx}{cos^2x}$

Answer : $\frac{sinx}{cos^2x}$

Sec(x) Integral

$\int{sec(x)}=ln|sec(x)+tan(x)|$

Answer : $ln|sec(x)+tan(x)$

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C-C++ Programming Language Prime Number Finder Codes

We wish everyone a good day. In this article, we will tell you how to write prime number finding codes in the C-C++ programming language. We wish you good coding...

C Programming Prime Number Finder Codes

Prime Number Query Codes:

#include <stdio.h>

#include <conio.h>

int main ()

{

int sayi;

int j,k,l,m;

printf("Enter a number:\n");

scanf("%d",&sayi);

for(int i=2; i<sayi; i++){

if(sayi%i==0){

printf("Number is not prime\n");

break;

} }

j=sayi;

for(int k=2; k<j; k++)

{

if(j%k==0){

k=2;

j=j-1; 

}}

l=sayi+1;

m=sayi+1;

for(int k=2; k<l; k++)

{

if(l%k==0){

k=2;

l=l+1; 

m=m+1;

}}

if(j==sayi)

{ printf("Number is prime.\n");

}

else

if(l-sayi==sayi-j){

printf("%d prime numbers closest to %d and %d ",sayi,m,j);

}

else

if(l-sayi<sayi-j){

printf("%d prime number closest to %d ",sayi,m);

}

else printf("%d prime number closest to %d ",sayi,j);

getch();

return 0; }

Thanks.

Source : www.mmsrn.com/kendisine-en-yakin-asal-sayiyi-bulan-c-programi-versiyon-1-2/

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Cosec(x) derivative and integral | What is the 1/sinx integral and derivative? (cscx)

Hello everyone. In this article, we will tell you the derivative and integral of cosec(x). We wish you good work.

Cosec(x) Derivative and Integral (1/sinx)

We'll take the derivative first. Then we'll take the integral.

cosecx derivative and cosecx integral

Cosec(x) or 1/sinx Derivative:

We can solve our problem by typing 1/sinx instead of cosecx.

👉 $\frac{d}{dx}cosecx=\frac{d}{dx}\frac{1}{sinx}$

Now we will take the quotient derivative.

👉 $\frac{d}{dx}\frac{1}{sinx}=\frac{0.sinx-cosx.1}{sin^2x}=\frac{-cosx}{sin^2x}$

Answer : $\frac{-cosx}{sin^2x}$

Cosec(x) or 1/sinx Integral:

Cosecx's integral solution can take a long time. That's why we will share the direct answer with you.

👉 $\int{cosec(x)}=-ln|cosec(x)+cot(x)|$

Answer : $-ln|cosec(x)+cot(x)|$

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x^x derivative | What is the derivative of x to x?

Good day to all guys. In this article, we will tell you what is the derivative of x to the x. We wish you good lessons in advance.

Derivative of x to x

x to x derivative | x^x derivative

👉 Question : $\frac{d}{dx}x^x=?$

When taking the derivative of x to the x, we first make the x=e^(lnx) transformation. More precisely, it is equal to x=e^(lnx).

👉 $x=e^{lnx}$

So we write e^lnx where we see x. Then our new question becomes as follows;

👉 $\frac{d}{dx}(e^{lnx})^x$

Let's solve our question step by step from here;

👉 $\frac{d}{dx}(e^{x.lnx})$

Now we take the derivative. We write the same and take the product derivative of the exponent.

👉 $(e^{x.lnx}).(x.\frac{1}{x}+lnx.1)$

👉 $x^x.(1+lnx)$

Answer : $x^x.(1+lnx)$

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(1+cosx)/sinx derivative | What is derivative of (1+cosx)/(sinx)?

Greetings everyone. In this article, we will tell you what is the derivative of the expression (1+cosx)/sinx. We wish everyone good lessons and good work in advance.

What is derivative of (1+cosx)/(sinx)?

1+cosx/sinx derivative

👉 First, let's write our question.

= $\frac{d}{dx}(\frac{1+cosx}{sinx})$

👉 Here, we divide the numerator and denominator into 2 in order to take derivatives easily. So our new question goes like this;

= $\frac{d}{dx}({\frac{1}{sinx}+\frac{cosx}{sinx}})$

👉 So, first we will take the derivative of 1/sinx, then we will take the derivative of cosx/sinx, that is, cotx. Let's write step by step;

we can transform = $\frac{1}{sinx}=cosecx=cscx$

we can transform = $\frac{cosx}{sinx}=cotx$

👉 So, lets continue;

= $\frac{d}{dx}(cosecx+cotx)$

= ${-cotx.cosecx}-cosec^2x$

Our answer = ${-cotx.cosecx}-{cosecx}^2$

Thank you and good lesson.

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Cot(x) integral | What is the integral of cotx?

We wish everyone a good day. In this article, we will tell you what the integral of cot(x) is.

integral of cot(x)

Integral of Cot(x)

The integral of cotx is ln|sin(x)|

$\int{cot(x)dx}=ln|sin(x)|$

Cotangent(x) integral ==> $ln|sin(x)|+C$

Thank you and good work.

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