Is f (x) = x sinx a periodic function ?

Q: Solve for the dy/dx using implicit differentiation.  tan-1y = 3x2y

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Q: 7. Find the dy/dx of * y = In sin 5x

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Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: Solve using implicit differentiation.  e^3x/ e^2y = sin y

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Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: Find the third derivatives of the function f (x) = e sin (2x)

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Q: Find the 80th derivative of y = cos(2x).

A: The given function is y=cos(2x)

Q: Find the differential of the function y = x- sin x.

A: Given: y=x2-sinx

Q: find dy/dx of y=cos2x-sin4x

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Q: (a)Deduce the 1$, 20d and 3rd derivatives of y = cos²x.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: Find the derivatives of the functions in Exercise . y = (1 + x2) e^tan-1 x

A: Given,          y=(1+x2) etan-1x

Q: Find the first and second derivative of y = e^−2x(cos3x+sin3x)

A: The first derivative of the given function by using the product rule of the derivative:

Q: Find by implicit differentiation. dx 1. x3 - xy + y2 = 7

A: topic - implicit derivative note - As per bartleby guidelines, we are supposed to answer only first…

Q: Find the differential equaiton corresponding th y= a cos(log x) +b sin(log x) where a and b are…

A: Differential equation formation

Q: Find dy/dx for y = 3[(sin-(e-3x*))2

A: Given,          y=3sin-1e-3x22

Q: Find dy/dx of y=sin-(1/,). 9x-

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

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Q: 23: Find The Domain of the Function. y = sin (log, x²]

A: Given: y=sin-1[log4x2]

Q: Find the first derivative of the function below: f(x) = (cos(2a – 7))sin(z+1) %3D

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Q: 3. Find the derivative y'(x) implicitly. cos²x + cos²y = = cos (2x +2y)

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Q: 4 sin (2x) dx cos (2x)t4

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Q: Find the second order derivatives of the function f(x) ex sinx cos 2x

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Q: Q1) Use implicit differentiation to find dy/dx if x cos(3x + 2y) = y sin x

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Q: determine dy/dx of the implicit function: 2x2y-sinxy2+e-xy=10

A: Given implicit function is  2x2y-sinxy2+e-xy=10 To find: dydx

Q: Find the derivatives of the functions y = x2 sin4 x + x cos-2 x

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Q: Find y' by implicit differentiation. cos(x) + √y = 2 y' =

A: Explanation and solution is given below....

Q: Find for the following function: dx 1- y = log2 cosh(2x) 2- y = e(x*+1) 3- xy + x²y = 3 at x = 1 4-…

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Q: Find the differential of the function y=xxe2x at the point x=1.

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Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

Q: The antiderivative of the function sin (Gx+7) is:

A: Given : sin12x+7

Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

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

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Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: find the first & second derivative of fox)=e 2. Cosx.

A: Given: The function fx=x2excosx, To find: First and second derivative of given function fx.

Q: Find the derivative of y = x 1 cOS x 2

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Q: find dy/dx. g(x) = cos x/sin2 x

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Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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Q: Find y' by implicit differentiation: 8 cos(ry) + x4 = yª

A: Given: 8cosxy+x4=y4 For finding derivative of given expression, we differentiate given expression…

Q: Find the 85th derivative of y = cos(3x).

A: Do the derivative many times and observe the pattern that derivative follows. Generalized it and…

Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…

Q: x' sin 2x dx -3x 5. X cos 2x dx

A: We solve these integral by u.v formula of integration

Q: Find the first and second derivatives of the function  y = cos (x 2 )

A: We have to find first and second derivatives of the function: y=cos x2 We know formula of…

Q: (1) | cosx In (sin x) dx (2) [ xe -TX | хе dx x (3) x -16 dx

A: As per guidelines, we are supposed to solve only first two questions. Please repost other questions…

Q: How are the derivatives of sin-1 x and cos-1 x related?

A: Given functions are sin-1x and cos-1x

Q: 2. Y= 2 Arccos (1-5+ V4x – x²

A: Let's find.