Question: Find the points where the function f(x)=3x3+7x2-8x+15 has a horizontal tangentline. Explain your reasoning.f'(x)=9x2+14x-8 Slope =9x2-4x+18x-8=0,f'(x)=x(9x-4)+2(9x-4)=0,(9x-4)(x+2)=0,9x-4=0,x+2=09x=4,x=-2x=49

Find the points where the function f(x)=3x3+7x2-8x+15 has a horizontal tangentline. Explain your reasoning.f'(x)=9x2+14x-8 Slope =9x2-4x+18x-8=0,f'(x)=x(9x-4)+2(9x-4)=0,(9x-4)(x+2)=0,9x-4=0,x+2=09x=4,x=-2x=49

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