Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

Q: cos ( bVx3 f(x) = a ln sin(cx²)

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Q: Find the second order derivatives of the following functions Ax) (i)cos°x (i) sin x 3

A: To find the second order derivatives of the following functions. (i). Given function fx=cos3x. Power…

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: Q3- Find i) S sin3x.cos(-5x)dx

A: We have to evaluate the following integral: int sin 3x . cos (-5x) dx

Q: Find the second derivative of the following  a .) 2x^3- 1/2x b.) Cos(x^2)

A: The given functions are  a) 2x3 - 1/(2x) b) cos(x2)

Q: Find the solution of the equation Cos y which tends to zero as x → 0o and has the value cos y when…

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: Find the derivatives of the functions defined as follows.

A: The given function is y=18sin 8x. Differentiate y with respect to x. y'=ddx18sin 8x=18ddxsin 8x

Q: Find the slope of the curve 2xy = In(e2*) sin(x) at the point (2,2)

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Q: for the following function: Find dx 1- y = sin-1 V2x + 3 2- y = 3cot(cosx)

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

Q: X(t) = b cos(wt) + V a² – b² sin²(wt)

A: We will use differentiation rules to solve this question.

Q: Find the second order derivatives of the following functions Ax) (i)cos³x (i)sin x 3.

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Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=…

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Q: In the given problem, we implicitly differentiate by taking the derivative with respect to x of both…

A: Given  ddx(y)=ddx(5cos(x+y))

Q: 2+x 9 y = Arctan(- 1-2x

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Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: Find y' : In(cos² 3x) = e*+y + sin-1 y

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Q: 1 y = cos 6x

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Q: Given x sin 4t and y = cos 4t, find the following derivatives as functions of t .

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Q: C) Find the equation of tangent to the curve 4x +9yi = 36 at the point (3 cos 0, 2 sin 0).

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Q: nd the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point x= 7.

A: equation of line at point (a,b)  is given by    y-b = m (x-a)  Where m is the slope of tangent  As…

Q: Find the derivative of k(a)=sin^2a(cos^8a) k′(a)=

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Q: Find the solution of the equation = e cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find for the following function: dx 1- y = sin-1 2x + 3

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Q: . Find the derivative of the following functions and simplify the answer: ly = 4x² cos x- 10x sin x…

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Q: Find the differential of the function y=sin23x.

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y =…

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Q: Find the derivatives of the functions r = sin (θ2) cos (2θ)

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Q: Find the derivatives of the functions y = θ3e-2θ cos 5θ

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Q: (a) Find the derivative of cos(1+x²).

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Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOL'N): у%3D 3…

A: given that y=3 arccos1-x3+6x-x2 find the second derivative of y

Q: Find the differential of the function. y=x^4 (sin(8x))

A: topic:-  derivatives

Q: Solve the equation for x in terms of y if x is restricted to the given interval.y = 6 - 3 cos x;…

A: The given equation is: y=6-3cosx, and x is restricted to the interval i.e., 0,π.

Q: Find y' and y" by implicit differentiation. cos(y) + sin(x) = 1

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Q: y = In[cos? (3x)]

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Q: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

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Q: cos(xy) + secy = 5

A: Given: cosxy+secy=5 We know that  ddxcosx=-sinx…

Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y…

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Q: Find the exact value. 3 S sin cos 2 0 x dx

A: Follow the procedure given below.

Q: Find the solution of the equation = e Cos y which tends to zero as x → 0o and has the value cos y…

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Q: x2 sin3(x) Q.2\ Find dx if y = In cos(x*).V1+x/

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Q: Q10. Find the first derivative of the following: a. y= sin(cos5x*) b. y= In(2x) c. y=(-5x' +2)s с.

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

Q: Find the solution of the equation Cos y which tends to zero as x 0o and has the value cos y when…

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Q: Find the derivative of the following functions/parametric equations. 4. e2x cos y + y2 = 1

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Q: 1. sin?(ešin*t) + cos¯'(2t³ – 5)

A: Solution: ddxsin2(esin2t)+cos-1(2t3-5)