Calc final exam review

What is the derivative of y= 1 - x² + x - 3x⁴

• dy/dx =x+-2x+1-12x³

• dy/dx =x-x³/3+x²/2-3x⁵/5

• dy/dx =-2x+1-12x³

• dy/dx =2x+1-12x³

what is the derivative of y= sin(2x)?

• dy/dx =cos(2x)

• dy/dx =2sin(2x)

• dy/dx =2sin(x)+cos(2x)

• dy/dx =2cos(2x)

when is the function f(x)=x²+6x+9 increasing?

• (3,∞)

• (-∞,3)

• (-3,-∞)

• (-3,∞)

What is the integral of f(x)=sin(2x)+1/x

• -2cos(2x)+ln(x)+c

• ln(|x|)−cos(2x)/2+C

• ln(|x|)−cos(2x)/2

• ln(|x|)+cos(2x)/2+C

Describe an integral

• Area above a curve

• Area below a curve

• Area above a curve minus area below a curve

• All of the above

Find the area of the region bounded by the curves y=x² and y=√x

• .444

• .666

• .333

• .456

The fundamental theorem of calculus.

• -6

• -16

• 1

• 2

Hint: Find the integral of the function and then take the derivative

• 1 ⁄ (1+x³) 
• (3x²) ⁄ (1+x³) 
• x³  ⁄ (1+x³) 
• HELP

Hint: Find the integral of the function and then take the derivative

• -cos(x⁶)
• sin(x⁶)
• 2x sin(x³)
• 2x sin(x⁶)