Thread: calculus AB test practice problems

if y=x^(x^3), then dy/dx=

a.) x^(x^3 +2) (2+3lnx)
b.) x^(x^3+2)
c.) 4x^(x^3+2)
d.) x^3 (l+3lnx)
e.) (lnx)x^(x^3)

Originally Posted by andyaddition

if y=x^(x^3), then dy/dx=

a.) x^(x^3 +2) (2+3lnx)
b.) x^(x^3+2)
c.) 4x^(x^3+2)
d.) x^3 (l+3lnx)
e.) (lnx)x^(x^3)

Re-write the function:



Use chain rule. For the derivation of the exponent you have to use the product rule.

The solution is a).

Originally Posted by andyaddition

if y=x^(x^3), then dy/dx=

a.) x^(x^3 +2) (2+3lnx)

Should be x^(x^3 +2) (1+3lnx)

yes thank you very much