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Math Help - find equation of line

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    Member sluggerbroth's Avatar
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    find equation of line

    it is shown in calculus slope of line tangent to y=x^3 at point (a,a^3) has slope3a^2
    find equation of line tangent to y=x^3 at (2,8) and (a, a^3)
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    MHF Contributor Reckoner's Avatar
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    Re: find equation of line

    Quote Originally Posted by sluggerbroth View Post
    it is shown in calculus slope of line tangent to y=x^3 at point (a,a^3) has slope3a^2
    find equation of line tangent to y=x^3 at (2,8) and (a, a^3)
    At (2,8), the slope of the tangent line is m=3a^2=3(2)^2=12. Now use your point-slope form, y-y_0 = m\left(x-x_0\right) to form the equation of the tangent line. The second part can be done the same way.
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