Laws of Log
Derivative of ln
Derivative of e^x
Chance with Derivatives!
100
Log a + Log b simplifies to
log ab
100
y=ln4x
What is y'= 1/x
100
y=e2x
What is y'=2e2x
100
y=ln(x2)
What is y'= 2/x
200
2log a - 3log b simplifies to:
log
200
y=ln(lnx)
What is y'= 1/(xlnx)
200
y=e-x
What is y'=-e-x
200
y=log2(x2)
What is y'= 2/(xln2)
300
ln 3root2 a
expands to
ln 3 + 1/2 ln a
300
y=x+lnx2
What is y'= (x+2)/x
300
y=e(2x/3)
What is y'= (2/3)*e(2x/3)
300
y=7x + 4ex
What is y'= 7xln7 + 4ex
400
3ln x - 4ln y + ln z condenses to
ln x^3z/y^4
400
y=ln(sinx)
What is y'= cosx/sinx= cotx
400
y=e√x
What is y'= (1/(2√x))*e√x
400
y=lnx*log2x
What is y'= (log2x)/x + lnx/(xln2)
500
500
y=ln(1+ex)
What is y'=ex/(1+ex)
500
y=xe2-ex
What is y'= e2-ex
500
y=xlnx
What is y'= lnx*x(lnx-1)*(1/x)