## Step-by-step explanation

Problem to solve:

Learn how to solve product rule of differentiation problems step by step online.

$5\frac{d}{dx}\left(x\arccos\left(7x^5\right)\right)$

Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule (d/dx)(5x*arccos(7*x^5)). The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x and g=\arccos\left(7x^5\right). The derivative of the linear function is equal to 1. Taking the derivative of arccosine.