Subtraction Rule in Differentiation Calculator

Calculate the Derivative of a Difference

First Function: f(x) = axn
Second Function: g(x) = bxm

Results

Derivative of f(x), f'(x):

Derivative of g(x), g'(x):

Derivative of f(x) - g(x):

Master the subtraction rule in differentiation with our online calculator. Quickly find the derivative of f(x) - g(x) by applying d/dx[f(x) - g(x)] = f'(x) - g'(x) to polynomial terms (axn). Simplify complex calculus problems and check your work effortlessly. Essential for students learning derivatives.

Formula:

The Subtraction Rule in Differentiation states:

ƒ ′(x) = d/dx[f(x) - g(x)] = f'(x) - g'(x)

Where:

  • f(x): The first differentiable function (e.g., axn)
  • g(x): The second differentiable function (e.g., bxm)
  • f'(x): The derivative of the first function with respect to x
  • g'(x): The derivative of the second function with respect to x

This calculator supports functions of the form axn.

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