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