Final answer to the problem
Step-by-step Solution
Specify the solving method
Solve the product $20x\left(x-2\right)$
Learn how to solve problems step by step online.
$derivdef\left(\left(20x-40\right)x+27\right)$
Learn how to solve problems step by step online. Find the derivative of (5x-4)^2-(3x+5)(2x-1)=20x(x-2)+27 using the definition. Solve the product 20x\left(x-2\right). Multiply the single term x by each term of the polynomial \left(20x-40\right). When multiplying two powers that have the same base (x), you can add the exponents. Find the derivative of 20x^2-40x+27 using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is 20x^2-40x+27. Substituting f(x+h) and f(x) on the limit, we get.