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1. Let (x) = 10^x . What is (f(1)) ? How many zeroes does the number (f(f(1))) have?

2. Let (x) = root (x) and (x) = cos x . Find (g(x)) and (f(x)) . No need to find derivative here.

3. Identify the inner and the outer function in (x) = (5-3x)^(1/2) . Then find '(x) .

4. Identify the inner function and the outer function in the following: = e^(root(x)) . Then find the derivative y/dx .

5. Identify the inner function and the outer function in the following: = sin^3 x . Then find the derivative y/dx .

6. Find e^(x^2 cos x))' .

7. Find 7^(pi root(x)))'

8. Find e^(cos (3x+1)))' .

9. Apply the Chain Rule two times to find root (sin cos x))' .

10. Discuss but no need to submit. In statistics one of the most important distributions is the normal distribution. Why is it so important? A normal distribution with mean and variance igma^2 has this probability distribution function:

ttp://calculus.sfsu.edu/latexrender/pictures/995a014045c2938b6731653c7c90a2b7.png

[Double click on the formula to see it sharper] Calculate dP(x)]/[dx] .

Try to use mangobox : [1]/[sigma root(2 pi)] e^(-[(x-mu)^2][2 sigma^2]) http://calculus.sfsu.edu/homework/

to generate more complicated formula before dragging them to the forum. Experiment with the formula and hit enter. The rendered image should be draggable to the forum... at least in firefox on windows...