Question

what is the derivative of cos (x/2)​

Answer 1

Answer:

x + 2 is aa ans okkkkkkkkmmm

Answer 2

Step-by-step explanation:

we will need to employ the chain rule

The chain rule states:

d/dx [f (g (x))] = d/d[g (x)] [f(x)] . d/dx [g(x)]

In other words , just treat x² like a whole variable, differentiate the outside function first, then multiply the derivative of x².

We know that the derivative of cos u is -sin u , where u is anything.

In this case it is x². And the derivative of x² is 2x

By the power rule, we now have:

d/dx [cos (x²)] = -sin (x²) . 2x

Simplify a bit:

d/dx [cos (x)²] = -2x sin (x²)