Learn how to solve problems step by step online. Find the derivative of (2x+5)^3(4x-1)^(1/2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(2x+5\right)^3 and g=\sqrt{4x-1}. 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 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.

Find the derivative of (2x+5)^3(4x-1)^(1/2)