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x/sqrt(x)=sqrt(x)
integral sqrt(x)=2/3x3/2
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Integrate of ln x squared?
int(ln(x2)dx)=xln|x2|-2x int(ln2(x)dx)=x[(ln|x|-2)ln|x|+2]
What is equivalent to ln 6 plus ln 4?
You can also write this as ln(6 times 4)
What is the derivative of x to the power of ln x?
I don't believe that the answer is ln(x)x^(ln(x)-2), since the power rule doesn't apply when you have the variable in the exponent. Do the following instead:y x^ln(x)Taking the natural log of both sides:ln(y)ln(x) * ln(x)ln(y) ln(x)^2Take the derivative of both sides, using the chain rule:1/y * y' 2 ln(x) / xy' 2 ln(x)/ x * yFinally, substitute in the first equation, y x^ln(x):y' 2 ln(x) / x * x^ln(x)y'2 ln(x) * x ^ (ln(x) - 1)Sorry if everything is formatted really badly, this is my first post on answers.com.
How do you differentiate exponential function?
The derivative of e^u(x) with respect to x: [du/dx]*[e^u(x)]For a general exponential: b^x, can be rewritten as b^x = e^(x*ln(b))So derivative of b^x = derivative of e^u(x), where u(x) = x*ln(b).Derivative of x*ln(b) = ln(b). {remember b is just a constant, so ln(b) is a constant}So derivative of b^x = ln(b)*e^(x*ln(b))= ln(b) * b^x(from above)
What is 2 divided by x as a power of x?
x^(ln(2)/ln(x)-1)
What is the integration of cotx?
The integral of cot (x) dx is ln (absolute value (sin (x))) + C. Without using the absolute value, you can use the square root of the square, i.e. ln (square root (sin2x)) + C
How do you integrate 4 over x?
This is the same as 4x-1, so the answer is just 4 ln x + C.
How do you integrate 1 over x-1?
2
What is l nx plus one half ln y minus 5ln z as a single logarithm?
ln(x times root(y) / z5)ln(x times root(y) / z5)ln(x times root(y) / z5)ln(x times root(y) / z5)
Integrate of ln x squared?
int(ln(x2)dx)=xln|x2|-2x int(ln2(x)dx)=x[(ln|x|-2)ln|x|+2]
What is the integral of -2x divided by the square root of x squared minus 4?
- ln ((x^2)-4)
How do you integrate cotxdx?
The integral of cot(x)dx is ln|sin(x)| + C
How do you solve for the x power of 8 is 20?
if x8 = 20 then x = - eighth root of 20 or x = eighth root of 20 eighth root of 20 = 1.4542154.... Maybe you mean 8x = 20 If so Ln (8x) = Ln (20) => x Ln(8)= Ln(20) => x = Ln(20)/Ln(8) = 1.4406426...
What is an accurate interpretation for a value of 0.3 for the regression slope b equals 0.3 for two variables Ln Xi and Ln Yi?
Pi^2 times the square root of 0.3 = Ln Xi for Ln Yi it's a little tougher. (0.3^4 times the value of Ln Xi)/17.2 Hope this helped. (not)
How do you integrate the cscnx?
The integral for csc(u)dx is -ln|csc(u) + cot(u)| + C.
How do you integrate x power -1?
x-1 = 1/x ∫1/x dx = ln x + C
How do you integrate sinx divide sinx plus cosx?
1/2(x-ln(sin(x)+cos(x)))
