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Simplify the fraction $\frac{-32x^2}{8x}$ by $x$
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$derivdef\left(\frac{-32x}{8}\right)$
Learn how to solve problems step by step online. Find the derivative of (-32x^2)/(8x) using the definition. Simplify the fraction \frac{-32x^2}{8x} by x. Take \frac{-32}{8} out of the fraction. Find the derivative of -4x 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 -4x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -4 by each term of the polynomial \left(x+h\right).