Derivative of Exponential and Logarithmic Functions

Find the derivative:

y=log₉x

• y′=1 /((log9)x)

• y′=(ln9)/x

• y′=1/(x(lnx))

• y′=1/((ln9)x)

Find the derivative:

y=(2^3x+4)

• 3(ln2)(2^3x+4)

• 3(2^3x+4)

• 3(2^3x+4/(ln2))

• 2^3x+4

Find the derivative:

y=log₄(6x+5))

• (ln4)(1/(6x+5))

• (6ln4)/(6x+5)

• 6/((ln4)(6x+5))

• 6/(6x+5)

Find the derivative:
y=4e^x²

• y'=8xe^x

• y'=8xe^x²

• y'=8xe^2x

• y'=8xe^4x²

What is the derivative of ln(x)?

• xln(x)

• 1/x

• e^x

• ln(x+1)

For the function below, identify its derivative:

$y=\ln x$

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

Find the derivative: y=ln(3x²-5x)

f(x)= Ln(x)

f ' (x) = ?

• Log(x)

• -1/(xLn(x))

• 1/(xLn(x))

• 1/x