Exercise
$\frac{d}{dx}\left(\left(3x^2-2x\right)^7\right)$
Step-by-step Solution
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative of (3x^2-2x)^7. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Find the derivative of (3x^2-2x)^7
Final answer to the exercise
$7\left(3x^2-2x\right)^{6}\left(6x-2\right)$