Derivative of cos(x^2), cos^2(x), and cos(2x) with Chain Rule | Calculus 1 Exercises
Derivative of cos(x^2), cos^2(x), and cos(2x) with Chain Rule | Calculus 1 Exercises

Get 5 free video unlocks on our app with code GOMOBILE

Snapsolve any problem by taking a picture.
Try it in the Numerade app?

Solved step-by-step

1-16 Differentiate. f(x) = 3âˆš(2cosx) + 3f(x)sinx – 2cotx
g(t) = tcos^2(t)
h(0) = csc(0) + e^cot(0)
y = e^(-cosu + cu)
y = sin(0)cos(0)tanx
y = sec^2(0)cosx
f(0) = 1 + sec(0)
y = 1 – sinx
y = 1 – secx
y = tanx
y = 1 + t
y = x^e^(sinx)tanx
f(x) = x^e^(CSCx)

Solved by verified expert

This problem has been solved!

Try Numerade free for 7 days

00:27

In Exercises $33-54,$ find the derivative of the function.$$y=e^{x}(\sin x+\cos x)$$

01:47

In Exercises $31-44,$ find the derivative. $$y=\cos ^{-1}\left(x+\sin ^{-1} x\right)$$

04:02

In Exercises $23-36,$ find the derivative.$$y=\cos ^{-1}\left(x+\sin ^{-1} x\right)$$

01:05

In Exercises $39-54$ , find the derivative of the trigonometric function.$$y=\frac{3(1-\sin x)}{2 \cos x}$$

Transcript

hi in this question it is considered the first part Baron. We are given F of X is equal to sine X plus one by two cortex let us now differentiate on obtain the value of F dash effects. So we will have cause x minus one by two. Corsican Squire X. Where on differentiating sign we will get core sex and on differentiating cortex we will obtain corsican Squire X with a negative sign. Now let us move on to the second part of the question Baron. We are given the function hedge of tita to be equal to corsican tita. Place people Martita Martita. Here to differentiate this part we will make use of the product rule which is given by UV the whole dash is equal to U V dash plus V. U dash by making use of this rule. We will differentiate this part and add with the differentiation of corsican tita. So here on differentiating we will obtain hedge dash of tita to be equal to minus corsican tita court. Theta plus E power theta. Times of minus corsican Squire tita plus E power T to times of course tita. No let us simplify this and rewrite where we will have hedged dash of tita to be equal to minus corsican tita tita minus empower tita. Corsican Squire tita. Place empower tita tita. Let us now move to the third part of the question…