If g(x)=lnx and f is a differentiable function of x, which of the following is equivalent to the derivative of f(g(x)) with resp

Question

8 months ago

12

ect to x ?
a. f'(1/x)
b. f'(x)/x
c.f' (In x)
d. f'(In x)/x

1 answer:

Alexxx [7] · Answer 1 · 2024-06-27T13:28:43+03:00

The derivative of f(g(x)) with respect to x is f'(1/x).

<h3>What are Derivatives?</h3>

The term derivative refers to a type of financial contract whose value is dependent on an underlying asset, group of assets, or benchmark.

Given that, g(x)=ln x

Differentiation of ln x = 1/x

Hence, The derivative of f(g(x)) with respect to x is f'(1/x).

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