1. ## CALCULUS three questions

Need help with number 5,6,& 7 please!! Thank you!

2. 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.