Use the Product Rule to differentiate the function. f(x) = x cos(x) Step 1 To use the product rule, write the given function as

Question

Use the Product Rule to differentiate the function.
f(x) = x cos(x)
Step 1
To use the product rule, write the given function as the product of two functions.
f(x) = g(x)h(x), where g(x) = x and h(x)
Step 2
The product rule states that
(g(x)h(x))' = g(x)h'(x) + g'(x)h(x).
Find the derivative of g(x).
g'(x) = 6x5
Find the derivative of h(x).
h'(x) = sin(x)
6x5
- sin r
= = cos(x
Step 3
Substitute for g(x), g'(x), h(x) and h'(x) to find the derivative of f(x).
f'(x) = x(
(6x5)
) +
H

Kunduz · Accepted Answer

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