Basic Derivatives (Polynomials Only)

Which if the following is not a correct notation for 'derivative?'

• f'(x)
• y'
• dy
• dy/dx

Find g'(x) if g(x)=4x³

• 12x³
• 4x²
• 3x⁴
• 12x²

Tags

CCSS.HSF.IF.A.2

Find h'(t) if h(t)=5x³-2x

• 3x²
• 15x²-2
• 15x²
• 15x²-2x

Tags

CCSS.HSF.IF.A.2

Derivative means the same thing as

• slope of the tangent line

• slope of the secant line

• instantaneous rate of change

• exponent

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

• The function is increasing

• The function is decreasing

• The function is positive

• The function is negative

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When you plug an x-value into the derivative of a function, you get this.

• tangent line

• secant line

• slope

• average rate of change

What is the derivative of xⁿ?

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

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

• 7
• 0
• 7x
• 14

 $f\left(x\right)=\frac{5}{x^2}$  

f'(x) = 

• 5x

• 5/2x

• 5x^-2

• -10/x³