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Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) =...

Compute f '(a) algebraically for the given value of a. HINT [See Example 1.]

f(x) = x2 − 9;  a = 1

Compute f '(a) algebraically for the given value of a. HINT [See Example 1.]

f(x) = x3 + 9x;  a = 5

Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.]

f(x) = x2 − 8

Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.]

f(x) =  2x − 1

Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative algebraically; then see Example 2(b) in Section 3.5.]

f(x) = x2 − 1; a = 4

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