y = cos(x In 3) log3 (sin x) is: y 3D cot(x) cos(x In 3) – sin(x In 3) In(sin x) y' cos (x In 3) - sin(xIn 3) In(sin x) y' In 3 In 3 Dthe above O the above cot(x)cos(x ln 3) cot(x)cos(x In 3) + cos(x In 3) In(sin x) sin(x In 3) In(cosx) In 3 In 3

Q: For x = R, f(x) = log2 - sinx| and g(x)=f(f(x)), then (1) g'(0)=-cos(log2) (2) g is differentiable…

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Q: If x = tan - log y a d'y dy Show that (1+x²)- +(2x- a)-0 dx dx?

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Q: sin x 2. Find f'(x) if f(x) = 1 - cos x %3D 1 3. Simplify your result in (2) to show that f'(x) %3D…

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Q: sec (x) tan (x) dx S S cos(x) sin (x) dx - log2 (x) dx

A: Important points: 1. If the derivative of a function is present then assume the function as t and…

Q: Find f. f"(x) = 5e* – 8 sin(x), f(0) = 3, = 0 %3D %3D f(x) = IN

A: Answer and explanation is given below

Q: Suppose f(pi/3) = 5 and f'(pi/3) = -7, and let g(x) = f(x

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Q: If g(x) = log, [sin(x)], what is g'(æ)? cos(r) O g'(x) = sin(x) In 6 O g'(x) = cos(z) sin(z) In 6 O…

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Q: If f(x) = ln 6x² +5 ( ) 4 - x 5 cos x f'(x) = find f'(x). Provide your answer below:

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Q: Use the appropriate rules to differentiate two of the following: (a) y = e* cos4x (b) y= (4x² +8x)*…

A: We need to differentiate the given functions. this can be done as follows:

Q: let y=[cos(2x-π)]3 Find y' at x=(π/6)

A: Compute the derivative as follows.

Q: Given f''(T) 9 sin(3r) and f'(0) 6 and f(0) = 3. Find f 2.

A: Given f"(x)=-9sin(3x) and f'(0)=-6 and f(0)=3