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Calculate the square root of $5$
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$derivdef\left(15x^2-\frac{2}{\sqrt{5}}x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of 15x^2+-2/(5^1/2)x using the definition. Calculate the square root of 5. Divide -2 by \sqrt{5}. Find the derivative of 15x^2-\frac{2\sqrt{5}}{5}x 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 15x^2-\frac{2\sqrt{5}}{5}x. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -\frac{2\sqrt{5}}{5} by each term of the polynomial \left(x+h\right).