Given , use the four step process to find a slope-predicator function m(x). Then write an equation for the line tangent to the curve at the point .
My text explains it as follows:
1. Write the definition of the derivative
2. Substitute the expresions f(x+h) and f(x) as determined by the paticular function of f.
3. Simplify the result by algebraic methods until it is possible to....
4. Apply appropriate limit laws to finally evaluate the limit.
Someone is inventing a new language ?!
Given , use the four-step process
to find a slope-predicator function m(x). . Why can't they say "derivative"?
Then write an equation for the line tangent to the curve at the point .
I assume your difficulty is with the algebra in the four-step process.
We have: .
Get a common denominator:
Take limits: .
I assume you can finish the problem now . . .