Differentiation Quizizz

What is the derivative of xⁿ?

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

The derivative of a function is its

• Sign
• Maximum/Minimum
• Instantaneous rate of change
• Common Denominator

Differentiate 6x^⅔.

• 4x^-⅓
• 4x^-⅔
• 6x^⅓
• 4x^⅓

Differentiate      y= 12x^-2

• 24x^-1
• -24x^-3
• -24x^-1
• 6x^-3

A curve has an equation $y=x^2-4x+1.\$ Find the gradient of the curve at  $x=5.$  

• 5

• 30

• 6

• 46

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

• The function is increasing
• The function is decreasing

Find the turning point of:

f(x) = 2x² - 8x + 9 (hint dy/dx=0)

• (2,1)

• (8,1)

• (2,10)

• (-2,1)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

Find the second derivative of:

f(x) = 2x² - 8x + 9

• -8

• 4

• 9

• 0

When classifying a turning point, what are the options?

• Max

• Min

• Point of inflection

• Second derivative

• First derivative

How do you find the x coordinates of turning points?

• Second derivative is positive

• Second derivative is negative

• First derivative is positive

• Differentiate, set the derivative equal to zero, solve for x

• Differentiate, work out the gradient, use the magic equation