Let y = ln u and u = cos x what is the value of 9 if x = 4 dx

Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x 2) y = 32x + In (sin x²) + In(sin-1 5x)…

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Q: Find dx implicitly, if e*(e- 1) + sin(2x + 5y) = In(v7) -- cot(2x) y+2

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Q: Evaluate: J x?cos(2x)dx

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Q: {e* cos x , e* sin vx}

A: Given that: {excosx, exsinx}

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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Q: Find dy/dx by implicit differentiation. (cos pi x + sin pi y)4 = 37

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Q: e (a) S sin* x dx

A: Apply reduction formula:∫sinnx dx = n-1n∫sinn-2(x)dx - cosx. sinn-1(x)nwith n=4∫sin4x dx =…

Q: Recall that cos™ 1 x = arccos x. Find r1/2 a sin(cos a) d. 1

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Q: dy Find if cos(xy) = x2 + y?. Show your work. dx

A: Differentiate wrt x

Q: If U, is a function whose fifth differences are constant and U, dx can be expressed in the fom pU…

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Q: Use x = ey to explain why d/dx (ln x) = 1/x, for x > 0.

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Q: dy Find dx if e cos r 1 + sin(ry)

A: Differentiation is the rate of change in the value of dependent variable with respect to the change…

Q: / Find dy/dx of the following function y = 3tan-2*ln(sec(2x)

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Q: Se Ce cos (sin '(x)) COs (sin

A: We need to find the antiderivative of ∫ecossin-1xdv

Q: Find dy Y= #an" (=) + cos "(sx) + CoS

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Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: dy Solve for dx given eex (cosx)"

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Q: Find dx for the following function. y = 3 sin x+ 2 cos x

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Q: dy Find if cos x = e dx %3D

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Q: Find e dx approximately using Simpsons rule with n 10.

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Q: Use this information to evaluate 1 (1- e)| dx %3D x=1 et - 1

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Q: 1. Evaluate x + x? (y) dy dx. COS

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Q: find dy/dx. y = 4/cos x + 1/tan x

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Q: Find dx dy for y = Vx log, (x' – tan x). Do not simplify your ar

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Q: For S* sin x dx, what is dv? sin x dx OA 2x dx - cos x+ 2x sin x+2 cosx+C O.

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Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -

A: Explanation of the solution is given below..

Q: Find the antiderivative of f(x)=cos(3x)

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Q: dy Find dx for y = 14x +5 coS x. d(14x+5 cos x)%3D

A: Formulas:1. ddxxn = nxn-12. ddxcosx = -sinx

Q: S Si dydx %3D 1-r

A: To evaluate the given double integral.

Q: d (e* cos.x) cos x dx

A: ddx(excosx)=?

Q: Find dy/dx for following functions. 1) y = csc-(e2inx?) + sin-1(2lnv3x)

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Q: Jrin m In(cos m) dm

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Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: Evaluate the function: ( e* +1 dx et

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Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: Evaluate J2 e* cosx dx 0.

A: To evaluate: The definite integral ∫0π2ex·cos x·dx. Concept used: Integration by parts:…

Q: S S som'e dx cos'x

A: Perform integration

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

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Q: Find de when y = In(1+ 5/æ) dx

A: The objective is to find derivative.

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

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Q: Find the length of the curve  y = 4 ln(cos(x/4)) from x = pi/2 to pi

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Q: find dy / dx for Hhe follo wing 2X y=3+ ln (sin x?)+In (sin 5x)

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Q: Find dx for the following function. y = 3 sin x + 5 cos x

A: Given query is to find the derivative of the given function.

Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

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Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,