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Multiply $1$ times $-5$
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$derivdef\left(3x^2-5x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 3x^2+1*-5x using the definition. Multiply 1 times -5. Find the derivative of 3x^2-5x 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 3x^2-5x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -5 by each term of the polynomial \left(x+h\right). Multiply the single term -1 by each term of the polynomial \left(3x^2-5x\right).