1. the derivative of f(x) = sin(x) is (a) f(x) = cos(x) (b) f(x) = - cos(x) (c) f(x) = cos(x) + 1 (d) f(x) =…

1. the derivative of f(x) = sin(x) is (a) f(x) = cos(x) (b) f(x) = - cos(x) (c) f(x) = cos(x) + 1 (d) f(x) = sin(x) (e) f(x) = - sin(x)

1. the derivative of f(x) = sin(x) is (a) f(x) = cos(x) (b) f(x) = - cos(x) (c) f(x) = cos(x) + 1 (d) f(x) = sin(x) (e) f(x) = - sin(x)

Answer

Explanation:

Step1: Recall derivative formula

The derivative of $\sin(x)$ with respect to $x$ is a well - known result in calculus. The formula for the derivative of $y = \sin(x)$ is $\frac{d}{dx}\sin(x)=\cos(x)$.

Answer:

A. $f'(x)=\cos(x)$