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Trig + Implicit Differentiation

Authored by William Preston

Mathematics

11th Grade - University

Used 10+ times

Trig + Implicit Differentiation
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15 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When we "take the derivative" of a function at a certain point, what are we finding?

What's a derivative?

The rate at which our struggles in Calculus are increasing.

The slope of the secant line.

The slope of the tangent line at that certain point.

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx if y = cos5x

5cos4x

-5sin4x

5cos4xsinx

-5cos4xsinx

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Find the derivative.

x4 cosx - 4x3sinx

4x3sinx + x4 cosx

4x3cosx

-4x3cosx

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is f'(x) if f(x) = cos(5x4)?

f'(x) = sin(20x3)

f'(x) = 20x3 sin(5x4)

f'(x) = -sin(20x3)

f'(x) = -20x3 sin(5x4)

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find y' if y = tan(3x2+2).

sec2(3x2+2)

6xsec2(3x2+2)

6xsec2x(3x2+2)

sec2(6x)

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find dy/dx if y = sec(8x2).

sec(16x)tan(16x)

16xcos(8x2)

16xsecxtanx(8x2)

16xsec(8x2)tan(8x2)

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find g'(x) if g(x) = sin1/2(4x)

2cos-1/2(4x)

1/2cos-1/2(4x)

2sin-1/2(4x)cos(4x)

1/2sin-1/2(4x)cos(4x)

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