Final answer to the problem
Step-by-step Solution
Specify the solving method
Subtract the values $-\frac{3}{4}$ and $-34$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(-\frac{139}{4}+x^2+9x\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of -3/4+x^29x+-34 using the definition. Subtract the values -\frac{3}{4} and -34. Find the derivative of -\frac{139}{4}+x^2+9x 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{139}{4}+x^2+9x. Substituting f(x+h) and f(x) on the limit, we get. Expand \left(x+h\right)^2. Multiply the single term 9 by each term of the polynomial \left(x+h\right).