# What is the derivative of this function #sin(x^2+1)#?

##### 2 Answers

Jan 23, 2017

#### Explanation:

differentiate using the

#color(blue)"chain rule"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(d/dx[sin(f(x))]=cos(f(x)).f'(x))color(white)(22)|)))#

#rArrd/dx[sin(x^2+1)]=cos(x^2+1).d/dx(x^2+1)#

#=2xcos(x^2+1)#

Jan 23, 2017

#### Explanation:

Let

Thus,

As per the **Chain Rule** , then, we have,

Now,

From

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