Differentiate the function. 8 + sin(t) f(t) cos(t) (a) f'(t) = Find f'(T). (b) f'(1) =

Q: If f(z) = 3x(sinx + cos x), find f'(x). f'(x) = 3z cos( z) 3z sin(z) + 3 sin(z) + 3 cos( z) Evaluate…

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Q: 4. Find the derivative of the function f(x) = (sin x)c0s ". COS x

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Q: 10. Find the first derivative of sin (y) + cos (x) = 1. cosx siny sinx a. y' b. y' %3D cosy C. y'…

A: We have to find the first derivative of sin(y)+cos(x)=1.To find the derivative we use chain rule of…

Q: 10. Find the derivative of y = cos /sin(tan 7x)

A: We will find the derivative using Chain rule

Q: Is it possible to evaluate the anti-derivative below? | (x + 1) cOS (2x) cos (x2) dx

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Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: Find the second derivative of the function. f(x) = cos(2x?) f "(x) =

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Q: Find the rate of change of y with respect to x at the indicated value of x. sin(x) :- 11 - cos(x)' y…

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Q: 3. Compute the first four derivatives of f(x) = sin r + cos r. Try to find a pattern and guess the…

A: we have to find the first four derivative of f(x)=sinx + cosx and then we have to find the n-th…

Q: A-The derivative is y = ln sin 0 cos 0 1+2ln 0

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Q: find the derivative of y with respect to the appropriatevariable. y = s√(1 - s2) + cos-1 s

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Q: Find the derivative. х10 cos yt dt y = A. sin (x) B. cos (x$) – - 1 C. Cos (x*) D. 10x° cos (x°)

A: We know that

Q: Find the derivative of the function r=sin(θ3)cos(3θ) dr/dθ=?

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Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

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Q: Find the derivative. y = 3t cos (t6) dt Select one: 3 A.6x cos (x ) 3 3 B.3 cos (x ) - 3^/x sin (x )…

A: The solution are next step

Q: Find the average rate of change of f from 0 toπ/2 . f(x)=sin( x/2)

A: Derivative of a function determines the change of one variable with respect to another variable.…

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: Find the derivative of the function .

A: Given a function f(x)=2x3+3 cos x f(x)=2(x)1/3+3 cos x      =2x-1/3+3 cos x We, use the following…

Q: Find the length of the curve f(x) = ln(sin x), 0 ≤x ≤π/6.

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Q: Find the derivative f (t) = 1- cos t | a. 1 cos t - 1 sin t C. 1– cos t - t · sint (1 – cos t)? b.

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Q: 2 cos x 4. Consider the function f(x) = x2 find its derivative

A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

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Q: (5) Find the derivative dy/dx, where: 4 1 -1 y=- y = cosec(cot3x), y=Vsinh¯3x 3 1+ cos° x

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: nd the Derivative : f (x) = cos (x)° (sin°(x + 3x)) 3 = CoS (

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Q: Find the derivative of sin 0 f(e) = 1+cose 1 + cos O 2)

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Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: Find the derivative of the function

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Q: Find the derivatives of the functions

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Sin X I+ COS f' (x) =>

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Q: 4 %3D ») f(E) =

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Q: 3. Find the derivative y'(x) implicitly. cos?x + cos²y = cos (2x + 2y)

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Q: Q /Choose the appropriate derivative for this function y = (x+ 1)2* dy = 2* (x + 1)2" - In(x + 1) dx…

A: Explanation of the answer is as follows

Q: 11. In y = e" sin x

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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Q: b. Find the derivative of y = Scos (x) sin(3–2x) + tan2(3x² – 4x) – csc(V2x – 1 Jand express your…

A: To find the derivative of below equation

Q: Find the first derivative f'(x) the the function f(x) = cosx vt +5

A: To find the derivative of the below function

Q: Find the derivative of the function. y = 6 In sin 22x O A. 24 sin 2x OB. 12 In sin 2x C. 24 cot 2x O…

A: We can find the derivative on the given function by using the chain  rule of differentiation.

Q: The derivative of y = In(sin(ex + 1)) is O y' = -ex cot(ex + 1) the above y' = -ex tan(ex + 1)

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Q: 1+sin 2x 1) Find the derivative of f(x) = 2 cos x

A: To find The derivative of given f(x)

Q: |sin x.cos x %3D 1+ 2.ln x

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Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

Q: Ise implicit differentiation to find the specified derivative at the given point. ind dy at the…

A: Given query is to find the derivative of the expression.

Q: 3. Find the derivative of (a) f(x) = (x+ 4 sin æ) (1 – 6 cos a), an (b) sin r g(x) %3D 6x

A: a). Given function is fx=x+4sinx1-6cosx. To find the derivative of given function. Solution: Product…

Q: V=ln( cosn 92) %3D

A: