Calculus problem...

Question

Let f(x)= 2x^2-6x+7. Find f(a+h) - f(a)/h

Answer 1

PROBLEM

Calculus problem...

Let f(x)= 2x^2-6x+7. Find f(a+h) - f(a)/h

SOLUTION

First, find f(a+h) by substituting a+h for x;

f(a+h) = 2(a+h)^2-6(a+h)+7.

Use FOIL or Box Method for the first term and the distributive property for the second term.

Simplify f(a+h).

Second, use a similar process to find f(a).

Third, subtract f(a) from f(a+h), combine like terms, cancel opposites, and simplify--factoring h out of the result.

Fourth, divide f(a+h) - f(a) by h, cancelling the common factor of h in the numerator and denominator.

QUESTIONS

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