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Factor the polynomial $21x^2+15x$ by it's greatest common factor (GCF): $3x$
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$derivdef\left(\frac{3x\left(7x+5\right)}{-3x}\right)$
Learn how to solve problems step by step online. Find the derivative of (21x^2+15x)/(-3x) using the definition. Factor the polynomial 21x^2+15x by it's greatest common factor (GCF): 3x. Simplify the fraction . Take \frac{3}{-3} out of the fraction. Find the derivative of -\left(7x+5\right) 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 -\left(7x+5\right). Substituting f(x+h) and f(x) on the limit, we get.