Differentiation 1

Find the derivative of f(x) = 2x²+3.

• 4x
• 4x²
• 3
• 4x+3

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

• 7
• 0
• 7x
• 14

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

What is the derivative of xⁿ?

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

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

• 2x + 1

• 2x - 1

• 4x - 1

• 2x² + x - 1

Tags

CCSS.HSA.APR.A.1

What is the derivative of y = 2π?

• 0

• 2

• -2

• None of the above

if f(x) = x² + 3, then f’’(0) is

• 0

• 2

• 4

• Undefined

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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

•  $\frac{2}{2x+1}-\frac{2}{1-2x}$  

•  $\frac{2}{2x+1}+\frac{2}{1-2x}$  

•  $\frac{2}{2x-1}+\frac{2}{1-2x}$  

•  $\frac{2}{2x+1}+\frac{2}{1+2x}$  

Tags

CCSS.HSF.BF.B.5

Find the derivative of

• sinx
• -sinx
• -cscx cotx
• sec²x

Differentiate 6x^⅔.

• 4x^-⅓
• 4x^-⅔
• 6x^⅓
• 4x^⅓