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.Com
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)   (Show Source): You can put this solution on YOUR website!
Let to get . Derive both sides to get where is the derivative of 'u' with respect to 'x'. I'll let you take it from here.
RELATED QUESTIONS

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)... (answered by jim_thompson5910)
ln5-lnx=3 I tried:... (answered by josmiceli,stanbon,richard1234)
lne^(x^2+3x-4)=ln5 (answered by lwsshak3)
Solve the following equation for x: {{{ ln(ln(x-3)) + ln(2) = ln5... (answered by Alan3354)
log 5 10 = log 5 30 = ln20 - ln5 = 2 log 3 = log 5 - log... (answered by Alan3354,solver91311)
∫(3x^2-2)(x^3-2x)^5... (answered by ewatrrr)
If 3x - 2(4x + 5) = x + 2, then x = A. -3 B. -2 C. 1/2 D.... (answered by rfer)
2/3x-5=x-3 (answered by jim_thompson5910)
|3x+2|-|x-3| =... (answered by Edwin McCravy)