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

The concavity of the function is up

The concavity of the function is down

Tangent and normal Quiz: 10 Practice Questions (Grade 12)

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of the vertical line through (8, -4)?

x=8

y=8

x=-4

y=-4

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which of the following means "first derivative"

f'(x)

y'

dy/dx

all of the above

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

y+1=2(x+1)

y = 2x - 1

y=2x+2

y = 2x -3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

$-\frac{3}{4}$

$\frac{4}{3}$

$\frac{3}{4}$

$-\frac{4}{3}$

6.

FILL IN THE BLANKS QUESTION

30 sec • 1 pt

The slope of the normal to the curve $x=a\cos^3\theta,\ \ y=a\sin^3\theta$ at $\theta=\frac{\pi}{4}$ is

(a)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The equations of all lines having slope 0 which are tangent to the curve $y=\frac{1}{x^2-2x+3}$ is

$y=1$

$2y=1$

$2y+1=0$

$y+1=0$

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Tangent and normal

What is the equation of the vertical line through (8, -4)?

Which of the following means "first derivative"

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

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

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

The slope of the normal to the curve $x=a\cos^3\theta,\ \ y=a\sin^3\theta$ at $\theta=\frac{\pi}{4}$ is

(a)

The equations of all lines having slope 0 which are tangent to the curve $y=\frac{1}{x^2-2x+3}$ is

What is the equation of the line perpendicular to 5x+3y=0 and passing through the (-4, 6)?

What is the equation of the line normal to f(x)=5x⁵-2x at x =-1?

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Tangent and normal

What is the equation of the vertical line through (8, -4)?

Which of the following means "first derivative"

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

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

If the gradient of the tangent is 43\frac{4}{3}34​ , what is the gradient of the normal at the same point?

The slope of the normal to the curve x=acos⁡3θ, y=asin⁡3θx=a\cos^3\theta,\ \ y=a\sin^3\thetax=acos3θ, y=asin3θ at θ=π4\theta=\frac{\pi}{4}θ=4π​ is (a)

The equations of all lines having slope 0 which are tangent to the curve y=\frac{1}{x^2-2x+3}y=x2−2x+31​ is

What is the equation of the line perpendicular to 5x+3y=0 and passing through the (-4, 6)?

What is the equation of the line normal to f(x)=5x5-2x at x =-1?

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

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

If the gradient of the tangent is $\frac{4}{3}$ , what is the gradient of the normal at the same point?

The slope of the normal to the curve $x=a\cos^3\theta,\ \ y=a\sin^3\theta$ at $\theta=\frac{\pi}{4}$ is

(a)

The equations of all lines having slope 0 which are tangent to the curve $y=\frac{1}{x^2-2x+3}$ is

What is the equation of the line normal to f(x)=5x⁵-2x at x =-1?