Derivatives of sine, cosine, e^x and ln(x) practice

Derivative means the same thing as (check all that apply)

• slope of the tangent line

• slope of the normal line

• average rate of change

• instantaneous rate of change

What is the derivative of cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)

Find the derivative:
f(x) = -2cosx

• -2sinx
• -cos²x
• 2sinx
• 2cosxsinx

What is the derivative of e^x?

• xe^x-1
• x^e
• e^x
• e^x-1

Evaluate $\sin\left(\frac{7\pi}{4}\right)$  

•  $\frac{1}{2}$  

•  $-\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{2}}{2}$  

•  $-\frac{1}{2}$  

Evaluate $\cos\left(\frac{5\pi}{6}\right)$  

• 1/2

• -√3/2

• √3/2

• -1/2

Evaluate $\sin\left(\frac{5\pi}{3}\right)$  

•  $\frac{1}{2}$ 

•  $-\frac{\sqrt{3}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

•  $-\frac{1}{2}$  

Evaluate $\cos\left(\frac{\pi}{6}\right)$  

•  $\frac{1}{2}$ 

•  $\frac{\sqrt{2}}{2}$  

•  $\frac{\sqrt{3}}{2}$  

• 2

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

What is the derivative of -cos(x)?

• sin(x)
• -sin(x)
• cos(x)
• -cos(x)