Basic Differentiation Review

Differentiate f(x) = 4x².

• 8x
• 16x
• 16x^2
• 8x^2

Differentiate f(x) = 5x⁷.

• 35x^6
• 210x^5
• 5x^6
• 1050x^4

Find the derivative of:
f(x) = 2x² - 7x + 9

• 4x
• 4x + 7
• 4x - 7
• 9

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

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

Find the derivative of:
f(x) = (x² +1)⁶

• 12(x² + 1)⁶
• 12x(x² + 1)⁶
• 12x(x² + 1)⁵
• 12(x² + 1)⁵

Find the derivative of:
f(x) = 7(3x + 4)⁵

• 35(3x + 4)⁵
• 35(3x + 4)⁴
• 105(3x + 4)⁵
• 105(3x + 4)⁴

 $If\ y\ =\ \tan\left(x^4\right)\ then\ \frac{\text{d}y}{\text{d}x}=$  

•  $\tan\left(3x^4\right)\$  

•  $\sec\left(x^4\right)\tan\left(x^4\right)$  

•  $\sec^2\left(x^4\right)$  

•  $\sec^2\left(x^4\right).4x^3$  

Find dy/dx for y = $e^{6x}$  

• dy/dx= $e^{6x}$  

• dy/dx=6 $e^{6x}$  

• dy/dx = 36 $e^{6x}$  

• dy/dx= $6x.e^{6x-1}$  

Tags

CCSS.HSF-IF.C.8B