Question: Let f ( x ) = 2 x 6 x 2 + 6 . Then according to the definition of derivative f ( x )

Let f(x)=2x6x2+6. Then according to the definition of derivative
f(x)=limh0f(x+h)f(x)
------------------------------------------------
h
(Your answer above and the next few answers below will involve the variables x and h. We are using h instead of x because it is easier to type)
We can cancel the common factor h from the numerator and denominator leaving the polynomial
212x6h
Taking the limit of this expression gives us f(x)=212x

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!