Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve sum rule of differentiation problems step by step online.
$\frac{d}{dx}\left(30\right)+\frac{d}{dx}\left(-6x\right)+\frac{d}{dx}\left(2y\left(4x-5\right)\right)$
Learn how to solve sum rule of differentiation problems step by step online. Find the derivative d/dx(30-6x2y(4x-5)) using the sum rule. The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=-6 and g=x. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=y and g=2\left(4x-5\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=4x-5 and g=2.