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Find the derivative of the following functions. $…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 88 Problem 90

Problem 33 Easy Difficulty

Find the derivative of the following functions.
$$y=\cos ^{2} x$$

Answer

-2 sin x cos x = -sin 2x

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Calculus 1 / AB

Calculus Early Transcendentals

Chapter 3

Derivatives

Section 5

Derivatives of Trigonometric Functions

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Differentiation

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Video Transcript

if this problem were asked to find the derivative of co sine squared of X and to make things a little easier, we can rewrite co sine squared of X is co sign of X Times coastline of X. And because we have two functions being multiplied together, we have to use product rule. So to find that we need to find the derivative of co sign of X so that can also be Britain as negative sign of x So now we can re rate Why? Prime of X as negative sign of X Times co sign of x close co Sign of X times Negative sign of X And when you simplify this, you get negative too. Sign of x co sign of X and this is a special double angle identity double angle. I don t so you can simplify this to negative sign of two x

We have video lessons for 83.18% of the questions in this textbook

William Briggs, Lyle Cochran, Bernard Gillet

Calculus Early Transcendentals

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