Differentiating Logarithmic Functions

Find the rate of change of the function at the point where x = 1

Find dy/dx in terms of x and y

Find the derivative:
y = 3ln(x²-3)

• 6x/(x²-3)

• 3/(x²-3)

• 3x/(x²-3)

• 9x/(x²-3)

Find the derivative:

y=ln(3x²-5x)

• (6x-5)/(3x²-5)

• 6x-5

• (x³/3)-(5x²)/2

• (6x-5)/(3x³-2x)

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

Tags

CCSS.HSF.BF.B.5

What is the derivative of ln(x)?

• xln(x)

• ln(x+1)

Find dy/dx

• A

• B

• C

• D

• 1/(2x⁵)
• 1/(10x⁴)
• 2x⁵
• 5/x

Tags

CCSS.HSA.APR.A.1

Find the derivative:

y=log₉x

• y′=1 /((log9)x)

• y′=(ln9)/x

• y′=1/(x(lnx))

• y′=1/((ln9)x)

Tags

CCSS.HSF-IF.C.8B

Find the derivative:

y=log₄(6x+5))

• (ln4)(1/(6x+5))

• (6ln4)/(6x+5)

• 6/((ln4)(6x+5))

• 6/(6x+5)