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