Question: Let f(t) = t+8 (a) Simplify the following difference quotient as much as possible f (t + h) - f(t) h (b) Use your result

Let f(t) = t+8 (a) Simplify the following difference quotient as

Let f(t) = t+8 (a) Simplify the following difference quotient as much as possible f (t + h) - f(t) h (b) Use your result from (a) and the limit definition of the derivative to calculate f' (t) = lim f (t + h) - f(t) E h +0 h (c) Use your answer from part (b) to evaluate f' (-3) = E (d) Find the equation of the tangent line to the curve at the point (-3, f(-3)). y =

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