Calc Review 12/9

Find the derivative of the following:  $\ln\left(3x^2-5x\right)$  

•  $\frac{6x-5}{3x^2-5x}$ 

•  $6x-5$ 

•  $\frac{x^3}{3}-\frac{5x^2}{2}$ 

•  $\frac{6x-5}{3x^3-2x}$ 

Find the second derivative of  $f\left(x\right)=x^2+e^x-\cos x$ 

•  $f''\left(x\right)=2+e^x+\cos x$ 

•  $f''\left(x\right)=2x+e^x+\cos x$ 

•  $f''\left(x\right)=2x+xe^x-\cos x$ 

•  $f''\left(x\right)=2x+e^x+\sin x$ 

• $\frac{1}{2}$

• $-\frac{1}{2}$

• $0$

• $\frac{3}{2}$

Find  $\frac{dy}{dx}$ at  $\left(-1,-1\right)$  if  $3x^3+4xy=1$ .

•  $\frac{5}{4}$  

•  $\frac{4}{5}$  

•  $1$  

•  $-5$  

For some function f(x):

f(3) = 5 and f '(3) = -2.

Use the tangent line at x = 3 to approximate the value of f(3.1).

• 5.01

• 4.98

• 5.2

• 4.8

• 5.02