SolveMathAI

Find the second derivative of x^3 - 4x

Worked through step by step. More derivatives.

Answer
6x\boxed{6x}

Differentiating the original function twice yields 6x6x, which is correct since the first derivative is 3x2−43x^2 - 4 and the derivative of 3x2−43x^2 - 4 with respect to xx is 6x6x.

Problem: Find the second derivative of f(x)=x3−4xf(x) = x^3 - 4x.

Steps

  1. Find the first derivative using the power rule
    f′(x)=3x2−4f'(x) = 3x^2 - 4
  2. Find the second derivative using the power rule
    f′′(x)=6xf''(x) = 6x

Generated by SolveMath AI and kept here so the next person asking gets it instantly. AI can make mistakes, so check anything that matters.

Solve your own

Same solver, same steps, no account.

Enter to solve · Shift+Enter for a new line

  • Free
  • No account
  • Every step shown
  • Arithmetic to calculus

More solved problems

Derivatives solver →
Find the derivative of x^3 * sin(x)Find the derivative of (2x + 1)^5Find the derivative of (x^2 + 1)/(x - 3)Find the derivative of e^(2x)Find the derivative of ln(x^2 + 1)Find the derivative of x^4 - 3x^2 + 7