Derivatives - Power, Exp, Log, & Trig

Find the derivative of f(x) = x² + e^x  - cosx

• f'(x) = 2x + xe^x-1 + sinx

• f'(x) = 2x + e^x - sinx

• f'(x) = 2x + xe^x - cosx

• f-(x) = 2x + e^x + sinx

Tags

CCSS.HSF.IF.A.2

Find the derivative.
 f(z) = 1/(3z²) + 4z³

• f'(z) = 6z³ + 12z²
• f'(z) = 6z + 12x²
• f'(z) =  -2/(3z³) + 12z²
• f'(z) = -6/z² + 12z²

If the position of a particle is represented by x(t) = -t² + 1, what is its instantaneous velocity at t = 3?  

Find the derivative:

y=log₉x

• y′=1 /((log9)x)

• y′=(ln9)/x

• y′=1/(x(lnx))

• y′=1/((ln9)x)

Tags

CCSS.HSF-IF.C.8B

Find the derivative of the given equation
f(x) = 7

• 7
• 0
• 7x
• 14

Let y = (x - 1)(x + 2). Find dy/dx.

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

What is the derivative of sin(x)?

• -sin(x)
• -cos(x)
• cos(x)
• sin(x)

• y = 2x + 1 - 3x^-1

• y' = 4x + 1 - 1x^-2

• y' = 2 + 3x^-2

• y' = 4x + 1 - 3x^-2

Find the derivative of the given equation
f(x) = x³ + x² + 3

• 3x² + 2x
• 3x + 2x 
• 3x + 2x + 3
• x³ + x² 

Tags

CCSS.HSF.IF.A.2

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

At which point(s) will the slopes of the tangent line are zero?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10