Final answer to the problem
Step-by-step Solution
Specify the solving method
Multiply $5$ times $2$
Learn how to solve problems step by step online.
$derivdef\left(3\left(2y\right)^2+10y-1\cdot {\left(-1\right)}^2\right)$
Learn how to solve problems step by step online. Find the derivative of 3(2y)^2+5*2y-(-1)^2 using the definition. Multiply 5 times 2. Calculate the power {\left(-1\right)}^2. The power of a product is equal to the product of it's factors raised to the same power. Find the derivative of 12y^2+10y-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 12y^2+10y-1. Substituting f(x+h) and f(x) on the limit, we get.