Chain Rule Derivatives Calculator: Simplify Composite Function Differentiation

Calculate Derivatives Using the Chain Rule for (ax + b)n

Derivative Result:

Original Function: (x + )

Applying Chain Rule: d/dx [(x + )]

Result:

Unlock the power of calculus with our Chain Rule Derivatives Calculator. This essential online tool helps you understand and apply the Chain Rule to find derivatives of complex composite functions, specifically for expressions in the form of (ax + b)n effortlessly. Ideal for students and professionals seeking quick, accurate differentiation solutions.

Formula:

The Chain Rule states: d/dx [f(g(x))] = f'(g(x)) * g'(x). For functions of the form (ax + b)n, where f(u) = un and g(x) = ax + b, the derivative is na(ax + b)n-1.

  • a: Coefficient of x in the inner function
  • b: Constant term in the inner function
  • n: Exponent of the outer function

Mathematics and Calculus Tools

Integral Area Under Curve Graphing

Go to Calculator

Logarithmic Differentiation

Go to Calculator