Final answer to the problem
Step-by-step Solution
Specify the solving method
Calculate the power $5^2$
Learn how to solve definition of derivative problems step by step online.
$derivdef\left(25\right)$
Learn how to solve definition of derivative problems step by step online. Find the derivative of (x-3)^2-(y+2)^2=5^2 using the definition. Calculate the power 5^2. Find the derivative of 25 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 25. Substituting f(x+h) and f(x) on the limit, we get. Subtract the values 25 and -25. Zero divided by anything is equal to zero.