Question

Find the derivative of f(t) = 2t ^2 −9t +7.

Answer 1

`f'(t)=4t-9`

Explanation:

Use the power rule to find the derivative.

- The power rule for derivatives is an easy way to calculate the derivative of a function. The formula for this rule is

`f(x)=x^n\\\\f'(x)=n(x^(n-1))`

Therefore when calculating the derivative of
`f(t)=2t^2-9t+7` you do the following steps:

`f(t)=2t^2-9t+7\\\\(2)2t^(2-1)-(1)9t^(1-1)+7\\\\f'(t)=4t-9`