If f(x)= 3x^2-x^3 find f'(1) and use it to find the equation of the tangent line to the curve y=3x^2-x^3 at the point (1,2) find f'(a)

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21-08-2017
Mathematics

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If f(x)= 3x^2-x^3 find f'(1) and use it to find the equation of the tangent line to the curve y=3x^2-x^3 at the point (1,2) find f'(a)

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ghanami ghanami · Answer 1 · 2017-08-25T10:28:44+02:00

ghanami ghanami

25-08-2017

hello :
f(x)= 3x^2-x^3 find f'(1) ;
f'(x) = 6x - 3x²
f'(1) = 6(1) -3 (1)² = 3 ( the slope )
the tangent line to the curve y=3x^2-x^3 at the point (1,2) is :
y - 2 = 3(x - 1 )

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