Question

find the derivate of the function x^2 cos x.

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Answer 1

Answer:

Solution:

Given function is x2cos x

Let y = x2cos x

Differentiate with respect to x on both sides.

Then, we get:

dy/dx = (d/dx)x2cos x

Now, using the formula, we can write the above form as:

dy/dx = x2 (d/dx) cos x + cos x (d/dx)x2

Now, differentiate the function:

dy/dx = x2 (-sin x) + cos x (2x)

Now, rearrange the terms, we will get:

dy/dx = 2x cos x – x2 sin x