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Multiply $1$ times $-2$
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$derivdef\left(dx^3+3x^2-2x-8\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of dx^3+3x^21*-2x+-8 using the definition. Multiply 1 times -2. Find the derivative of dx^3+3x^2-2x-8 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 dx^3+3x^2-2x-8. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -2 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(dx^3+3x^2-2x-8\right).