Find derivative and gradient of a tangent

Find the derivative of f(x) = 5x² + 7x - 3.

• 2x + 7
• 10x + 7
• 10x + 4
• 2x + 4

Differentiate y = -19

• -19
• 0
• 19
• Not differentiable

• (1/2)x^-7
• (1/2)x^-9
• -32x^-9
• -32x^-7

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the derivative of the given equation
f(x) = x⁴ + 4x³ - 2x²

• x³ + x² - x
• 4x³ + 12x² + 4x
• 4x + 12x - 4x
• 4x³ + 12x² - 4x

Tags

CCSS.HSA.APR.A.1

Which curve is a possible gradient function?

• A

• B

• C

• D

Which of the following means "first derivative"

• f'(x)
• y'
• dy/dx
• all of the above

Find the gradient of f(x) = -3x² – 6x at x = 1.

• m = 0

• f'(x) = -6x - 6

• f'(x) = 6x

• m = -12

If f '(x) = 0, what does that mean with respect to the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

Tags

CCSS.HSF.IF.B.4

For what value(s) of x does the function

f(x) = 4x³- x²- 2x+5 have a horizontal tangent? *Hint: use your GDC...

• x=-1/3 or 1/2

• x= 1/3 or -1/2

• x=3 or -2

• x=-3 or 2

the derivative is...

• Gradient of the secant line

• Gradient of the tangent line

• Gradient of the cosecant line

• Gradient of the normal line