Differentiate 𝑦=4⋅ln(𝑥).d𝑦d𝑥=

Question

Differentiate 𝑦=4⋅ln(𝑥).d𝑦d𝑥=

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Solution

To differentiate the function y = 4*ln(x) with respect to x, we use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function.

The derivative of ln(x) with respect to x is 1/x.

So, the derivative of y = 4*ln(x) with respect to x is:

dy/dx = 4 * (1/x) = 4/x.

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