(3x')* (Зх (x'y')²

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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Q: Find the indicated nth derivative of the following: 8. 25th derivative of y = sinh8x ans. y25) = 825…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: Find Dxy for y = sinh-'(x5)

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Q: Show that √(10x + 1) and √(x + 1) grow at the same rate asx→ ∞ by showing that they both grow at the…

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Use implicit differentiation to find * az given that yz* + x²z3 = дх = exyz

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Q: Find the derivative of y 16 In (In(6x)). (Use symbolic notation and fractions where needed.) dy dx…

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Q: п/4 sec z dz

A: By using integration formula, we calculate the given integral.

Q: Find the general solution using reduction of order. 1. y''=ln(x)

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Q: Solve by Chain Rule y = tan ( V3x² + In(5X*))

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Q: Find the derivative of y=cos4 x sin4 x Ans: 1/2 sin3 (2x) cos cos (2x) solution?

A: We simplify the given expression using the double angle property

Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x²…

A: Find derivative using product rule and composition of functions rule

Q: 2 cosh(2x) – sinh(2x) = 2

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Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1

A: Given that: 9x3+x2y-xy3=1

Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

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Q: Solve by Bernoulli ODE and Integrating Factor: y' = y2+ 3y cotx

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Q: #11, find dy/dx by implicit differentiation

A: Differentiate question 11

Q: 4. If y = x cos x determine the 5th derivative. [y(5) = (60x – x³) sin x+ (15x² – 60) cos .x]

A: To find out the fifth derivative.

Q: 2 L sinh–t|= 3 6. 9s2 – 4 3 2s2-4 6. s² – 4 - 3s2 – 4

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Q: If 3x2 + 3x + xy = 2 and y(2) 8, find y' (2) by implicit differentiation. %3D 1

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Q: 13. Find the second derivative y “ of y = 5z2 +sinrcosz

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Q: Find one anti derivative of (x+1)^2 and then find  integral(x+1)^2 dx.

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Q: |х — 1 x5

A: Use the method of substitution to evaluate the integral. I=∫x−1x5dx=∫x−1x52dxLet u=xdu=12xdxSo,…

Q: dervivative of (ln(cosh(x)))3

A: Given data:     The given function is: y=(ln(cosh(x)))3. STEP-1 Assume u=coshx and differentiate it…

Q: Find dy/dx by implicit differentiation. x4 + yA 5

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Q: The first derivative of y = sin( 4x + 3) is %3D а. - 4 cos(4x +3) b. 4 cos(4x +3) С. cos(4x+3) d. -…

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Q: Use differentials to approximate the value of <2.1.

A: Given  Find the value of 52.1

Q: Find dyydx by implicit differentiation. 1 + x = sin(xy2)

A: In implicit differentiation we differentiate the terms in LHS and RHS and then re-arrange the terms…

Q: 4. Find the first derivative of y = 170x tan (20x)+- In(49 – x 5e7-8cos

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Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: If 5x + 5x + xy = 4 and y(4) : y'(4) by implicit differentiation. – 24, find -

A: Given 5x2 + 5x + xy= 4 and y(4) = 24

Q: The derivative of y = -ln(cos(ex + 1)) is

A: Our Aim is to find the derivative of y=- ln cos ex+1 -(i)

Q: If fex, yJ-o find dy /af partial derivative off dx

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Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

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Q: The second derivative y" of y = x3 + ex – sin(2x) is . 1. O y" = 6x + eX – 8 sin(2x) 2. O y" = 3x +…

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Q: Find the derivative of y(x) = In (7(In(x))* ). %3D (Use symbolic notation and fractions where…

A: Topic = Derivative

Q: Find dy/dx by implicit differentiation. 3+10xv+4x-5x=0

A: Given

Q: 2. tanh-'x + lny1 – x²

A: We have to find derivative

Q: 17. Show that V10x + 1 and Vx + 1 grow at the same rate_ as x→o by showing that they both grow at…

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Q: 3. Find the derivative D(x *arctan(x)) And the integral 6x dx 9+x

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Q: Find dy ax oy Impticit dipTErentation 3. Find 2nd derivative

A: 1) The given equation is 2x2+2y2=17 Differentiate both sides of given equation 2x2+2y2=17 with…

Q: Find the orthogonal trajectories of family of curves y = ax5 (SOLVE BY USING DIFFERENTIAL…

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Q: Find y(1) for y" = - 4z - 4y, X, = 0, yo = 0, z, = 1, with step length 0.1 using Euler method (2nd…

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Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: 10.Anti-derivative of y(2y^2-3)^5

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Q: Solve for the first derivative of y = 3 sin x cos 3x

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Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

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