Derivatives The Power Rule

Find the derivative of: f(x) = 4x⁴-3x³-9

• 16x⁴-9x³

• 16x⁴-9x³-0

• 16x³-9x²-9

• 16x³-9x²

Tags

CCSS.HSA.APR.A.1

Find the derivative of:  $f\left(x\right)\ =\ \sqrt{x}$  

•  $\frac{1}{2}x^2$  

•  $\frac{1}{2\sqrt{x}}$  

•  $\frac{1}{\sqrt{x}}$  

•  $\frac{1}{2x^2}$  

Tags

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Find the derivative of  $f\left(x\right)\ =\ \frac{1}{x^5}$  

•  $5x^4$  

•  $-5x^6$  

•  $-\frac{5}{x^6}$  

•  $\frac{1}{5x^6}$  

Find the derivative of  $f\left(x\right)\ =\ \frac{1}{2\sqrt{x}}$  

•  $-\frac{1}{4\sqrt{x^3}}$  

•  $-\frac{1}{\sqrt{x^3}}$  

•  $-x^2$  

•  $-4x^2$  

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

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

Find the derivative of f(x) = 6x³⁰ -2x¹⁵ + 4x³ - 2x + 1

• f'(x) = 18x²⁹ + 30x¹⁵ + 12x³ 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² 
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² - 2
• f'(x) = 180x²⁹ - 30x¹⁴ + 12x² +1

Tags

CCSS.HSA.APR.A.1

Find the derivative of  $f\left(x\right)\ =\ \left(3\ -\ \sqrt{x}\right)\left(3\ -\ \sqrt{x}\right)$  

•  $9-6\sqrt{x}-x$  

•  $-\frac{3}{\sqrt{x}}-1$  

•  $-\frac{1}{3\sqrt{x}}-1$  

•  $-\frac{1}{\sqrt{3x}}-1$  

Find the derivative of the following:

• a

• b

• c

• d

Tags

CCSS.HSA.SSE.A.2

Find the derivative of:

• a

• b

• c

• d

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.A.2

Find the derivative of:

• a

• b

• c

• d

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.2