Ln(x)
Ln u(x) (chain rule)
General Power Rule
Properties of Log
Base is not e
100
Definition of the derivative
What is 1/x
100
What is the the definition of the chain rule
dlnu/dx = 1/u*du/dx
100
What is the general power rule?
d/dx x^(n)=nx^(n-1)
100
What is lnx + lny
Lnxy
100
What is the change of base formula
loga(x) = lnx/lna
200
What is the derivative of f(x) = ln(2x^2+4)
2x/x^2+2
200
What is the derivative of d/dxln (2x+3)
(2)/(2x+3)
200
What is the derivative of 5x^8+6x^2
40x^7+12x
200
What is lnx - lny
lnx/y
200
What is the derivative of f(x) = log5(x)
1/xln5
300
What is the derivative of f(x) = lnx/x
1-lnx/x^2
300
What is the derivative of f(x) = (3x+1)^2
6(3x+1)
300
What is the derivative of (3x-2x^2)^3
3(3x-2x^2)^2 * (3-4x)
300
What is nlnx
lnx^(n)
300
What is the derivative of f(x) = log2(1-3x)
-3/1-3x(ln2)
400
What is the derivative of f(x) = ln[x(x^2+1)^2]
5x^2+1/(x^2+1)
400
What is the derivative of f(x) = (13x^2-5x+8)^1/2
(26x-5)/2(13x^2-5x+8)^1/2
400
What is the derivative of f(x) = (4 − 2x)^3
−6(4 − 2x)^2
400
What is the derivative of [lnx+.25ln(x+1)]^(2)
lnx^2(x+1)^(1/2)
400
What is the derivative of log2(5x^3) = y
3/x(ln2)
500
What is the derivative of (x+1/x-1)^1/2
-1/X^2-1
500
What is the derivative of (1-4x+7x^5)^30
30(35x^4-4)(1-4x+7x^5)^29
500
What is the derivative of f(x) = (x^2 − 9)^2/3
4x/3(x^2 − 9)^-1/3
500
What is derivative of 1/3[2ln(x+3)+lnx-ln(x^(2)+1)]
ln[(x(x+3)^(2))/(x^(2)-1)]^(1/3)
500
What is the derivative of log2(x) - 6log5(x)
(ln5-6ln2)/x(ln2)(ln5)
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Derivatives of Log Functions
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