y=e^x/3+10x
2007-03-17 15:54:48 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
.33333333333333e^x/3 + 10
2007-03-17 16:01:47 · answer #1 · answered by Fudge 2 · 1⤊ 0⤋
To differentiate a quotient such as this, take the denominator multiplied by the derivative of the numerator (e^x is its own derivative) and subtract the numerator multiplied by the derivative of the denominator (which is 10). Divide all this by the square of the denominator. So we have ((10x+3)(e^x)-(10e^x))/(10x+3)^2. This simplifies to ((10x-7)(e^x))/100x^2+60x+9. However, I am not sure whether you mean (e^x)/(10x+3) or ((e^x)/3)+10x, in which case the answer would be different.
2007-03-18 01:15:54 · answer #2 · answered by minikui37482 1 · 0⤊ 0⤋
Your presentation may be construed as :-
Question 1.
y =(1/3). e^(x) + 10x
or
Question 2.
y = e^(x/3) + 10x
Question1
dy/dx = (1/3).e^(x) + 10
Question 2
dy/dx = (1/3).e^(x/3) + 10
Moral behind story is that brackets should be used to save time and avoid confusion!
2007-03-18 06:32:40 · answer #3 · answered by Como 7 · 0⤊ 0⤋
dy/dx = (1/3)e^x + 10.
2007-03-17 23:03:58 · answer #4 · answered by I know some math 4 · 0⤊ 1⤋