brieHehshereear brieHehshereear

23-02-2017
Mathematics

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Find the equation of the tangent line to the curve y=11xex at the point (0,0). the equation of this tangent line can be written in the form y=mx
b. find m and
b.

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LammettHash LammettHash

23-02-2017

[tex]y=11xe^x\implies y'=11e^x(x+1)[/tex]

When [tex]x=0[/tex], the slope of the tangent line is [tex]11e^0(0+1)=11[/tex]. The equation of the tangent line in point-slope form is then

[tex]y-0=11(x-0)\implies y=11x[/tex]

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