1.) Use the product rule to find the derivativeof
(?10x6?7x9)(3ex+3)
2.) Iff(t)=(t2+5t+8)(3t2+2) find f'(t)
Find f'(4)
3.) Find the derivative of the function
g(x)=(4x2+x?5)ex
g'(x)=
4.) If f(x)=(5?x2) /(8+x2) find:
f'(x)=
5.) If f(x)=(6x2+3x+4) / (?x) ,. then:
f'(x) =
f'(1) =
6.) Find the derivative of the functiong(x)=(ex) / (3+4x)
g'(x)=
7.)
Differentiate: y=(ln(x)) /( x6)
(dy) / (dx) =
8.) Given that
f(x)=x7h(x)
h(?1)=2
h'(?1)=5
Calculate f'(?1)
9.) The dose-response for a specific drug isf(x)=(100x2) / (x2+0.14) where f(x) is thepercent of relief obtained from a dose of x grams of a drug, where0?x?1.5
Find f'(0.7)
f'(0.7) =
and select the appropriate units.
a)Grams per percent relief
b)Percent relief per gram
c)Percent relief
d)Grams
10.)Let f(x)= (x) / (x+6) . Find the values ofx where f'(x)=5
Give exact answers (not decimalapproximations).
The greater solution is x=
The lesser solution is x=
