Logarithmic Differentiation

Differentiate y = ln (5x - 7)

• _ 5 _

  5x-7

• _ 1 _

  5x-7

• ln5

• ln5x - ln 7

Find the derivative of the function below using the method of "Logarithmic Differentiation." Submit an image of your work on Schoology. f(t) = (t² + 2t)⁵

• f'(t) = 5(2t+2)⁴

• f'(t) = 5(t² + 2t)⁴

• f'(t) = 5(t² + 2t)⁴(2t)

• f'(t) = 5(t² + 2t)⁴(2t + 2)

Find dy/dx

• A

• B

• C

• D

• ((3x²-5)(x²+1))/(10x²(3x⁴-5))
• (2(-3x⁴-5))/(5x(3x⁴-5))
• (3x²-1)/(60x³)
• ((3x²-5)(-x²-1))/5

Tags

CCSS.HSA.APR.D.6

Differentiate the function with respect to x. y = ln (x +1)

• (5(1-4x))/(12x³)
• 5(x+1)(3x³-4x²+4x-4)
• (5(x³+16))/(x(x³+4))
• (5(x+1)(-3x³+4x²-4x+4))/(3x⁴(x³+4))

Differentiate the function with respect to x. y = ln (7x +1)

• 1/(3x²+5)^1/4
• (3x)/(2(3x²+5))
• (2(3x²+5)^3/4)/(3x)
• (3x²+5)^1/4

• 1/(2x⁵)
• 1/(10x⁴)
• 2x⁵
• 5/x