Exercise
$\frac{d}{dx}\sqrt[3]{3x^2+7x-2}$
Step-by-step Solution
Learn how to solve problems step by step online. Find the derivative of (3x^2+7x+-2)^(1/3). 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+7x+-2)^(1/3)
Final answer to the exercise
$\frac{6x+7}{3\sqrt[3]{\left(3x^2+7x-2\right)^{2}}}$