FORMULAS ON DIFFERENTIATION

What is the derivative of xⁿ?

• (n-1)xⁿ
• nxⁿ⁺¹
• (n+1)x^n-1
• nx^n-1

Derivative means the same thing as

• slope of the tangent line
• slope of the normal line
• exponent
• potato

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing

• 3x²
• x³
• 6x
• 3x² + x³

Tags

CCSS.6.EE.A.4

Differentiate f(x) = x³.

• x^4
• 3x^3
• 3x^2
• 6x

Differentiate  $y=3e^{2x}+x$  

•  $6e^x+1$  

•  $6e^x$  

•  $6e^{2x}+x$  

•  $6e^{2x}+1$  

Find the derivative of:
f(x) = 5 - 2x

• 5
• -2x
• -2
• 2

Find the derivative of:
f(x) = 2x² + 3

• 4x
• 2x
• 3
• 2x+3

Find the derivative of:
f(x) = -5/x⁴

• -20/x⁵
• 20/x⁵
• -20/x³
• 20/x³

 $\frac{d}{dx}\sin x$  

•  $\sin\ x$  

•  $-\cos x$  

•  $-\sin\ x$  

•  $\cos x$