DIFFERENTIATION

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

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

Tags

CCSS.HSA.APR.A.1

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

• 7
• 0
• 7x
• 14

What is the derivative of xⁿ?

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

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

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

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

Find $\frac{dy}{dx}$  for  $y=\left(x+5\right)\left(2x-1\right)$  .

•  $9-4x$  

•  $4x+9$  

•  $4x-9$  

•  $-4x-9$  

Find $\frac{dy}{dx}$  for  $y=3x^2\left(5x+1\right)$  by using product rule.

•  $45x^2-6x$  

•  $45x^2+6x^{-1}$  

•  $45x+6$  

•  $45x^2+6x$  

Tags

CCSS.HSA.APR.A.1

Find $\frac{dy}{dx}$  for  $y=\frac{3x+2^{ }}{2x+1}$  by using quotient rule.

•  $-\frac{1}{\left(2x+1\right)^2}$  

•  $\frac{1}{\left(2x+1\right)^2}$  

•  $\left(2x+1\right)^{-2}$  

•  $2x+1$  

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

Use the product rule to find the derivative. $f\left(x\right)\ =\ -x^3\left(3x^4-2\right)$  

•  $-3x^2+12x^3$  

•  $-21x^3+6x$  

•  $-21x^6+6x^2$  

•  $-84x^6-6x^2$  

Tags

CCSS.HSA.APR.A.1

 $x^2\left(-3x^2-2\right)$  

•  $-6x^3-4x$  

•  $-12x^3-4x$  

•  $12x^3+4x$  

•  $-36x^2-4$  

Tags

CCSS.HSA.APR.A.1