Math

posted by Ifi

How to differentiate e^e^x?
Ans at wolfram is e^(x+e^x). I need the calculation method.

1. Steve

You know that if y = e^u
y' = e^u u'

here, u=e^x, so
y' = (e^e^x) (e^x)
now just add exponents as usual when multiplying:

y' = e^(e^x+x)

Similar Questions

1. math

differentiate y=-4x^2cos x. i need to know the calculation work. (ans: 4x^2sinx - 8xcosx)
2. math

differentiate y=(x)^(1/2)e^(-x).i need the calculation work. [ans: -x^(1/2)e^(-x) + 1/2(x^-1/2)e^(-x)]
3. math

differentiate y=e^x/(x)^(1/2).i need the calculation work.[ans: e^x/x^(1/2) - e^x/2x^(3/2)]
4. chem

an aq. solution(NaCl) made by using 133g diluted to a total solution volume of 1 L.Calculate the molarity, molality & mass % of the solution(density of solution = 1.08g/mL) [ans: M=1.92M, m=2.0m, 10.4 %] i need the calculation work …
5. Math

How to d/dx y= (9+((x-9)/6)^1/5)^1/2 ? Hope u can give me the way how to calculate it. ^^ I got 1/60 ((x-9)/6) ^ (-9/10), i think my answer is wrong because i check at wolfram website the ans is differrent from mine (sorry i didn't
6. Math

Calculate dy/dx, (x^3)(y^7) + 16xy^6=0 My ans is (y(-16-3x^2y))/ x(96+7x^2y) but at wolfram is y^6(3x^2y+16). Btw i use product rule to dy/dx. Need someone to recheck my ans.
7. Math

Differentiate f(x)= (8-2x)^3(x^2+1)^5. My ans is 2(8-2x)^2(x^2+1)^4(-3x^2-10x+37). Plz recheck my simplify ans. -my simplify ans is not the same as wolfram but the long ans is same with wolfram-
8. Math

Differentiate y=4^(3x^2).. i need to know the calculation step..thanks for the help....
9. Math

Differentiate ln (1+ cos x)... My ans is (-sin x)/ (1+cos x), but at wolfram is -tan (x/2). I think they simplify it but how did they do it?
10. math

use implicit differentiation to find dy/dx and then d^2y/dx^2. y^2=ye^x^2+2x ans for dy/dx= [2(xye^x^2 + 1)]/(2y-e^x^2) after that i don't know how to proceed. can someone show me the steps(x need for calculation) and final answer. …

More Similar Questions