Final answer to the problem
Step-by-step Solution
Specify the solving method
Simplify the fraction $\frac{x^7}{x^5}$ by $x$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(x^{2}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x^7)/(x^5) using the definition. Simplify the fraction \frac{x^7}{x^5} by x. Find the derivative of x^{2} 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 x^{2}. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^{2}. Cancel like terms x^2 and -x^{2}.