Quiz Review -Deriv of Exponential and Log Functions

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 = 3ln(x²-3)

• 6x/(x²-3)
• 3/(x²-3)
• 3x/(x²-3)
• 9x/(x²-3)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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

The derivative of y = ln(cosx) is...

• y' = -tanx

• y' = -secx

• y'= secx

• y' = tanx

The derivative of $y=\ln\sqrt{1-x^2}$   is

• 
• 
• 
• 

Find the derivative:

y=(2^3x+4)

• 3(ln2)(2^3x+4)

• 3(2^3x+4)

• 3(2^3x+4/(ln2))

• 2^3x+4

Tags

CCSS.HSF.BF.B.5

Find the derivative:
y=4e^x²

• y'=8xe^x
• y'=8xe^x²
• y'=8xe^2x
• y'=8xe^4x²

Tags

CCSS.HSF-IF.C.8B

Find the derivative:

y=e^{4x^2-5x+6}

• e^{4x^2-5x+6}

• e^8x-5

• (8x-5)e^{4x^2-5x+6}

• (4x^2-5x+6)e^{4x^2-5x+6}

Tags

CCSS.HSF-IF.C.8B

Find the derivative f(x) = x²/e^x

• f'(x) = (x²e^x - 2xe^x) / (e^x)²
• f'(x) = (2xe^x + x²e^x) / (e^x)²
• f'(x) = (2xe^x - x²e^x) / (e^x)²
• f'(x) = x²e^x + 2xe^x

Tags

CCSS.HSF.IF.C.8

Find the derivative:  $f\left(x\right)=e^x\ln x$  

•  $f'\left(x\right)=\frac{e^x}{x}$  

•  $f'\left(x\right)=\frac{e^x}{x}+e^x\ln x$  

•  $f'\left(x\right)=xe^{x-1}\ln x+\frac{e^x}{x}$  

•  $f'\left(x\right)=e^x\ln x$