Question: Consider the function f(a) = 5x2 - 10. (a) Simplify the following difference quotient as much as possible f (4 + h) - f(4) E

Consider the function f(a) = 5x2 - 10. (a) Simplify the following difference quotient as much as possible f (4 + h) - f(4) E h (b) Use your result from (a) and the limit definition of the derivative to calculate f' (4) = lim f(4 + h) - f(4) E h +0 h (c) Use your answer from part (b) to find the equation of the tangent line to the curve at the point (4, f(4)). y

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