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Math Help - CALCULUS three questions

  1. #1
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    CALCULUS three questions

    Need help with number 5,6,& 7 please!! Thank you!
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  2. #2
    Senior Member
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    5a) Use the chain rule.

    (uv)'=u'v+uv'

    5b) Use the chain rule. For logarithmic differentiation, you the formula \log_a x=\frac {\ln x}{\ln a}

    5c) (\ln |x|)'=\frac {x'}{x}, so \frac {1}{(\cos ^2e^{-x})(\tan (e^{-x}))}

    6) Rewrite for y. For example, x=e^y, y=\ln x Use the tangent line formula. Given the coordinate (a, f(a)), the equation of the tangent line is y-f(a)=f'(a)(x-a)

    6b)Same thing

    7) Find the derivative, and set y'=0 and solve that equation. The solutions you get for y'=0, sub that into y, and you'll find out the local extremas.

    This is not calculus 3. This is calculus 1, just very difficult calculus 1 problems.
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