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What is the derivative of a function?

What is the derivative of a function?

The derivative of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x.

What is the first derivative of a function?

The first derivative of a function is an expression which tells us the slope of a tangent line to the curve at any instant. Because of this definition, the first derivative of a function tells us much about the function. If is positive, then must be increasing. If is negative, then must be decreasing.

How do you find the derivative of ln?

The derivative of the natural logarithmic function (ln[x]) is simply 1 divided by x. This derivative can be found using both the definition of the derivative and a calculator….Derivatives Of Logarithmic Functions

  1. y = ln(x2 x)
  2. y = (log7 x) 1/3
  3. y = ln(x4˙sin x)
  4. y = lnx/[1 + ln(2x)]

What is a derivative calculator?

An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation. A useful mathematical differentiation calculator to simplify the functions. 1. Use ^ for representing power values. Eg: Write input x 2 as x^2.

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What is analytical differentiation calculator?

An online derivative calculator that differentiates a given function with respect to a given variable by using analytical differentiation. A useful mathematical differentiation calculator to simplify the functions. Just copy and paste the below code to your webpage where you want to display this calculator.

How do I find the derivative using the graphing tool?

You can also get a better visual and understanding of the function by using our graphing tool. Click the blue arrow to submit. Choose “Find the Derivative” from the topic selector and click to see the result!