Final answer to the problem
Step-by-step Solution
Specify the solving method
Combining like terms $x^2$ and $-4x^2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(-3x^2+\frac{x}{x}\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of x^2-4x^2x/x using the definition. Combining like terms x^2 and -4x^2. Simplify the fraction \frac{x}{x} by x. Find the derivative of -3x^2+1 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 -3x^2+1. Substituting f(x+h) and f(x) on the limit, we get. Multiply the single term -1 by each term of the polynomial \left(-3x^2+1\right).