Practice Questions on Derivative of log x

Q1: Find the derivative of log x.

Q2: Find the derivative of x2 log x2.

Q3: Evaluate derivative of log sin x.

Q4: Evaluate the derivative of x log x. 

Q5: Find the derivative of x3 log cos x.

Derivative of Log x: Formula and Proof

Derivative of log x is 1/x. Log x Derivative refers to the process of finding change in log x function to the independent variable. The specific process of finding the derivative for log x functions is referred to as logarithmic differentiation. The function log x typically refers to the natural logarithm of x, which is the logarithm to the base e, where e is Euler’s number, approximately equal to 2.71828.

Let’s know more about Derivative of Log x formula and proof in detail below.

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Derivative of log x

Derivative of log x is 1/x. The derivative of log x in calculus represents the rate of change of log x with respect to the change in the value of independent variable x. This means that the slope of the tangent line to the graph of log x at any point is 1/x in the base of 10.....

Proof of Derivative of log x

The derivative of log x can be proved using the following 3 ways:...

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Some common facts about logarithm are:...

Solved Examples on Derivative of log x

Example 1: Find the derivative of 2log x....

Practice Questions on Derivative of log x

Q1: Find the derivative of log x....

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