SOLUTION: If y=5^(x^3-2), then dy/dx= (A) (x^3-2)5^(x^3-2) (B) 3x^2(ln5)5^(x^3-2) (C) (3x^2)5^(x^3-2) (D) (ln5)5^(x^3-2) (E) x^3(ln5)5^(x^3-2)

Algebra ->  Test -> SOLUTION: If y=5^(x^3-2), then dy/dx= (A) (x^3-2)5^(x^3-2) (B) 3x^2(ln5)5^(x^3-2) (C) (3x^2)5^(x^3-2) (D) (ln5)5^(x^3-2) (E) x^3(ln5)5^(x^3-2)      Log On


   

Question 262835: If y=5^(x^3-2), then dy/dx=
(A) (x^3-2)5^(x^3-2)
(B) 3x^2(ln5)5^(x^3-2)
(C) (3x^2)5^(x^3-2)
(D) (ln5)5^(x^3-2)
(E) x^3(ln5)5^(x^3-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let u=x%5E3-2 to get y=5%5Eu. Derive both sides to get dy%2Fdx=ln%285%29%2A5%5Eu%2A%28du%2Fdx%29 where du%2Fdx is the derivative of 'u' with respect to 'x'. I'll let you take it from here.