Q: Find dx implicitly, if e*(e- 1) + sin(2x + 5y) = In(v7) -- cot(2x) y+2
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Q: FIND DY/DX OF THE FOLLOWING -y=sin' In (x+1)
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Q: dy in each of the following functions : dx EX-11- Find b) y = sin *-1 x +1
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Q: 4X dy 2siny ?) S dy sinzx e 3) S sin? dx
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Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t -2 sin3t
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Q: cos-1(2 x2)
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Q: dy given that In(x + y2)-tan-1 31) Find = 0. dx
A: Given: lnx2+y2-tan-1yx=0 To Find: dydx=?
Q: dy Find if cos(xy) = x2 + y?. Show your work. dx
A: Differentiate wrt x
Q: If Xy +y.1 find the value of dy dx 2 5- at the point Co,-1)
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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+ x² + y²)²
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Q: 03: Use chain rule to find dy/dx for the following 1. y = -sec u, u = x² + 7x
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: Find dy/dx for the following : 1) y = x + sin x² + sin-1 5x
A: Since you have asked multiple question, we will solve the first question for you. If youwant any…
Q: dy 5 implicitly, if e*(e – 1) + sin(2x + 5y) In(v7) - cot(2x) - = - dx y+2
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Q: FIND DY/DX OF THE FOLLOWING 5. y=csc Inx
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Q: find dy /dx for the following Y=sin x
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Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t-2 sin3t
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Q: Find dy/dx for the following xVx² In y = In + 1 2 (x + 1) 3
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Q: Solve the following DE: [2x+ ycos(xy)] dx+ x cos(xy) dy = 0
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Q: Q4: Find dy\dx if|cos?y +5y2 = x2
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Q: dy Q8. Find for the following: dx y = In (3 – 4 cos x) b. у %3D (4х — 5)
A: To find dy/dx for the given functions
Q: If y? In(x) = 5, find dy/dx. dy dx
A: This question is based on differentiation with respect to x.
Q: The result of dy/dx for the following function is COS X y = 1+sin x
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Q: dy Find ax for the following function. y = x cos x sin x dy dx
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Q: Given y =! (In(4x² +7)[* find dx dy tan(5x)
A: We are given that y=ln4x2+76tan5x. So, y'=ln4x2+76tan5x' =ln64x2+7cot5x' Apply the Product…
Q: dy of the following function: dx Question: Find xey cosh (xy)
A: Explanation of the answer is as follows
Q: dy Let y=e* sin 3x. Show that 3e-2* cos 3x - 2y. dx -2x d'y = -13y-4- dr Hence show that dx
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Q: dy Find dx for the following functions y = In (6x² + 9x³) y tan (e sin4x)
A: on solving this we get
Q: FIND DY/DX OF THE FOLLOWING 6. y=sec'Inx
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Q: Find dy/dx for each of the following. Do not simplify your answers. (d) y = (In x)tan æ (x + 4)4 (4x…
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Q: Find dy/dx for each of the following by using the rule (elnx=x) and rewriting them. y=3sinx
A: y = 3Sin xy = eIn 3Sin xy = eSin x In 3
Q: 4. Find d2y/dx? for the following functions: a) y = sin x2 cos 2x b) y = cos (sec? 3x)
A: Given that a)y=sinx2cos2x b)y=cos4sec23x find d2ydx2
Q: dy Find dx for y = (1+ æ)* || Ans=
A: Here we can find the derivative as below.
Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -
A: Explanation of the solution is given below..
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: Find dy/dx for the following: 1) y = x3 + sin x2 + sin-1 5x
A: Dear, as per company guidelines we can answer only one question at a time, kindly post other…
Q: Q1: Find for the following dx a) y = 3sin 12x 0(46x) b) y = In(4 )tan x +tan (In x*) c) x y = (ỹ…
A: Find dy/DX for each
Q: Q4: Find dy\dx if|cos'y +5y? = x?
A: The given equation iscos2y+5y2=x2to find dydx
Q: use the chain rule to find dy/dx for the followingy=(1+cot^2 7x)^3
A: To find the derivative of the given function y = (1 + cot2(7x))3 using chain rule.
Q: S S som'e dx cos'x
A: Perform integration
Q: dy Find dx of the following. (x = 1-t
A: Given: x=1-ty=1+tTo find:dydx
Q: dy -for the each of the following : dx 3. Find 1-3x (a) y = 1- sinx -X (b) y = u°+In(4u), where u =…
A: We have to solve given problem:
Q: 4. Find d²y/dx² for the following functions: a) y = sin x? cos 2x
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Q: Q2: Find y(2) if D.E as give dy 2. +3y=sin 2x, y(0) = 6 dx Given
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Q: Find dy/dx for the following : 1) y = x3 + sin x² + sin-1 5x
A: As per the company guidelines we can solve first question. I hope that the given solution will help…
Q: 2. Evaluate each. (a) sin(y²) dy dr cln(2) -In(5) e2z+y dy dx (b)
A: We use change in order of part a
Q: 1. Find each of the following derivatives. d a. [cosh(2x² - 4)] dx b. 0| dx [tanh(4e³x+1)]
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Q: find dy /dx for the following 3 2 -1 Y3x'+Sin x+ Sin5X
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Q: Use an appropriate technique to evaluate the following: 1 dx dy (1+x² + y²)²
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Q: I. Find dy/dx in the following: 1. Y= sin In(x + 1)
A: To find the derivative of given function.
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- Suppose that x2 = y2 = e and yz = zxy. Show that xy = yx.Suppose that a consumer derives his utility from two goods, the amounts of which are x and y, according to the utility function U(x,y)=ln2x+ln5y. The consumer has income B to spend, the prices of the two goods are px and py, and B, px and py are all assumed to be exogenous. Express the income and the substitution effect in terms of good x. Is good x normal and ordinary?Show mathematically that MRS is increasing for U=1-ex +e2y and is diminishing for U=lnX +LnY