A polynomial is given by .

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

A polynomial is given by h(x)=7x5+0x4+3x2−9x+12h(x)=7x^{5}+0x^{4}+3x^{2}-9x+12. (a) Compute h′(x)h'(x) and simplify. (b) Determine the slope of the tangent line to y=h(x)y=h(x) at the point where x=−1x=-1. (c) Write the equation of that tangent line in point–slope form.

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