IB Math Derivatives

Find the slope of $f\left(x\right)=x^3-3x^2+7$  at x = -1

• 3

• 6

• 9

• 16

At what point will the slope of y = -x² + 4 be zero?

• (0, 4)

• (1, 4)

• (4, 0)

• (1, 0)

What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=0?

• y+1=2(x+1)

• y=2x-1

• y=2x+2

• y= -x-1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What is the slope of the line normal to the curve y = x² + x at x = 1?

• -1

• -1/2

• -1/3

• -1/4

Tags

CCSS.HSG.GPE.B.5

Given f(x) = ax² + 2bx. What are a and b if f'(x) = 8x + 6?

• a = 2 and b = 3

• a = 3 and b = 2

• a = 3 and b = 4

• a = 4 and b = 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

Find the derivative of  $f\left(x\right)\ =\ \frac{1}{x^5}$  

•  $5x^4$  

•  $-5x^6$  

•  $-\frac{5}{x^6}$  

•  $\frac{1}{5x^6}$  

Find the derivative of:  $f\left(x\right)\ =\ \sqrt{x}$  

•  $\frac{1}{2}x^2$  

•  $\frac{1}{2\sqrt{x}}$  

•  $\frac{1}{\sqrt{x}}$  

•  $\frac{1}{2x^2}$  

Tags

CCSS.HSF.IF.C.8

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

What is the second derivative of y = 2x³ - 4x + 6

• 6x² - 4

• 12x - 4

• 12x

• 6x

Set up the derivative of $y=\left(3x^4-7\right)\left(5x^2+1\right)$  

•  $\left(12x^3\right)\left(10x\right)$  

•  $\left(3x^4-7\right)\left(10x\right)+\left(12x^3\right)\left(5x^2+1\right)$  

•  $\left(3x^4-7\right)\left(10x\right)-\left(12x^3\right)\left(5x^2+1\right)$  

•  $\frac{\left(3x^4-7\right)}{\left(10x\right)}+\frac{\left(12x^3\right)}{\left(5x^2+1\right)}$  

Tags

CCSS.HSA.SSE.A.2

Find the derivative of y = 2x² (3x - 4)

• 6x³ - 8x²

• 18x² - 16x

• 15x² - 6x

• 6x - 4