Question

Find the derivative of cos x at x is equal to zero

Answer 1

Answer:

.. ((( + ) − )/))/h〗 = lim┬(h→0)⁡〖(−2 ((2 + ℎ)/2) . (ℎ/2))/h〗 = lim┬(h→0)⁡〖−2 sin⁡((2 + ℎ)/2).

Answer 2

$[\frac{dy}{dx}]_{x=0} =0$

Step-by-step explanation:

Let y = cos x

Differentiate with respect to x

$\frac{dy}{dx} =\frac{d}{dx} (cosx)$

$\Rightarrow \frac{dy}{dx} = -sinx$

Now given x=0

$[\frac{dy}{dx}]_{x=0} =- sin0$

            =0