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What is the derivative of sin x to the e to the xth power?
Mattquest50
y = (sinx)^(e^x)
ln(y) = ln((sinx)^(e^x))
ln(y) = (e^x)ln(sinx)
(1/y)dy = (e^x)(1/sinx)(cosx)+ln(sinx)(e^x)dx
(1/y)dy = (e^x)(cotx)+ln(sinx)(e^x)dx
dy = ((sinx)^(e^x))((cotx)(e^x)+ln(sinx)(e^x))dx
dy = ((e^x)(sinx)^(e^x))(cotx+ln(sinx))dx
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∙ 13y ago
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What is Y double-prime plus y equals 0?
y"+y'=0 is a differential equation and mean the first derivative plus the second derivative =0.Look at e-x the first derivative is -e-xThe second derivative will be e-xThe sum will be 0
What is the integral of e to the negative x?
-e^(-x) or negative e to the negative x this is because you multiply the function (e) by: 1 / (the derivative of the power ... in this case: -1) e^(-x) * (1/-1) = -e^(-x) Don't forget to add your constant!
What is the derivative of e to the u?
(eu)'=ueu-1
The derivative of y equals e 9x?
If dy/dx = (e) (9x) then Y = 4.5ex2 plus (any constant).==================================The above answer explains how to get the integral of e9x.If you were interested in how to get the derivative of e9x, the answer is e9.I suspect you may have actually wanted to ask how to get the derivative of e9x.In that case, the derivative of e9x is 9e9x.
What is the derivative of e raised to the 3x?
d/dx e3x = 3e3x
What is the first derivative of e raised to the power of x?
The first derivative of e to the x power is e to the power of x.
What is the derivative of e to the power of x?
The derivative of ex is ex
What is the derivative of e to the power of -2 times x?
e^(-2x) * -2 The derivative of e^F(x) is e^F(x) times the derivative of F(x)
How do you do derivative 27ex?
I assume you mean 27 times e to the power x. 1) You take out the constant out. So, the derivative is 27 times the derivative of (e to the power x).2) You use the rule for the exponential function.
What is the derivative of e power negative x?
d/dx (e-x) = -e-x
What is the derivative of x to the power of e?
e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.
What is the antiderivative of sqrtx plus 4ex minus sinx?
The anti-derivative of sqrt(x) : sqrt(x)=x^(1/2) The anti-derivative is x^(1/2+1) /(1/2+1) = (2/3) x^(3/2) The anti-derivative is 4e^x is 4 e^x ( I hope you meant e to the power x) The anti-derivative of -sin(x) is cos(x) Adding, the anti-derivative is (2/3) x^(3/2) + 4 e^x + cos(x) + C
What is the derivative of e to the power ln x squared?
e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.
What is the derivative of e the the power ln x?
y = e^ln x using the fact that e to the ln x is just x, and the derivative of x is 1: y = x y' = 1
What is the derivative of e to the power of 2lnx?
Your expression simplifies to just x^2 {with the restriction that x > 0}. The derivative of x^2 is 2*x
What is the derivative of e to the e?
ee is a constant and so its derivative is 0.
What is the derivative of e to the power of x plus x to the power of 3?
d/dx (ex + x3) = ex + 3x2
