Question

Consider the following. g() = − cos() h() = sin() find g ′() and h ′().

Answer 1

The derivatives g'(x) and h'(x) are -sin(x) and cos(x) respectively.

Step-by-step explanation:

To find the derivatives of g() = -cos() and h() = sin(), we can use the chain rule. The chain rule states that if we have a function g(f(x)), the derivative of g with respect to x is equal to g'(f(x)) * f'(x). Applying this rule to g(), we have g'(x) = -sin(x) and applying it to h(), we have h'(x) = cos(x). So the derivatives of g() and h() are -sin() and cos() respectively.