Derivative Calculator Wolfram

Derivative or Differentiation is a very important method used in Calculus math. Finding the derivative of a function is finding the

rate at which a function value changes with respect to change in the variable of the function. Derivative calculator wolfram is an

instant online tool very helpful in finding the derivative of a function and its other details.


Example 1: Find the derivative of the function, f(x) = x³ – 4x

Power rule of the Derivatives   d f(xⁿ)/dx = n*x^n-1

Given function: x³ – 4x

Applying the above formula for every term of the function, we get

Derivative of the given function  d f(x)/dx= d (x³)/dx – 4*d(x)/dx

 df(x)/dx = 3*x^3-1 – 4

 df(x)/dx = 3x² – 4

 Hence the derivative of the function f(x) = x³ – 4xis 3x²– 4


 
Example 2: Find the derivative of the function, f(x) = 2x² + 5x – 1

Power rule of the Derivatives   d f(xⁿ)/dx = n*x^n-1

Given function: 2x² + 5x – 1

Applying the above formula for every term of the function, we get

Derivative of the given function  d f(x)/dx= d (2x²)/dx + 5*d(x)/dx – d(1)/dx

 df(x)/dx = 2*2x^2-1 + 5x – 0 (Derivative of a constant is always ‘0’)

 d f(x)/dx = 4x¹+ 5

 Hence the derivative of the function f(x) = 2x² + 5x – 1is 4x + 5