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(Solved): f(x)=3x^3-x^4 at (2,8) a. Find the equation of the tangent line to the curve at the given point. b ...


f(x)=3x^3-x^4 at (2,8)

a. Find the equation of the tangent line to the curve at the given point.

b. Find the equation of the normal line to the curve at the given point.



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the given curve is,f(x)=3x3?x4differentiate,f?(x)=ddx(3x3?x4)f?(x)=9x2?4x3the slope of the tangent line is,m=f?(x)m=9x2?4x3at x=2m=9(2)2?4(2)3m=4
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