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Simplify the fraction $\frac{x^7}{7x^5}$ by $x$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(\frac{x^{2}}{7}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^7)/(7x^5) using the definition. Simplify the fraction \frac{x^7}{7x^5} by x. Find the derivative of \frac{x^{2}}{7} 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 \frac{x^{2}}{7}. Substituting f(x+h) and f(x) on the limit, we get. Combine \frac{\left(x+h\right)^{2}}{7}-\frac{x^{2}}{7} in a single fraction. Divide fractions \frac{\frac{\left(x+h\right)^{2}-x^{2}}{7}}{h} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}.