3 tan-(x)dx = In (4) 2/3 None - In (4) 품-In (2)

Q: Find dy by implicit diffe dx rentiation

A:

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: Find dy/dx by implicit differentiation.

A: To find: The derivative of x3y-xy3=4. Concept used: Chain rule of derivative: fgx'=f'gx·fgx Product…

Q: 35. tes ушх хе" dy dx 0,

A: Given the integral:

Q: 3 dx|

A:

Q: In(x) 1. Evaluate -dx if possible. If not possible, explain why.

A: As we know that the integration by parts:- ∫udv=uv-∫vdu

Q: S" S"(sinx + cosy) dx dy

A: our objective is to evaluate the integration

Q: d sinh x) = cosh x dx

A: By using hyperbolic functions definition, sinhx =ex-e-x2   and coshx =ex+e-x2

Q: Find the derivative of the function. y= -6x In (5x + 8) dy dx

A:

Q: S sin (2x – 1)cos (2x-1)dx (2х - 1)dx

A:

Q: Find dy/dx at x=0 if y= Cosu and y--3x

A:

Q: 1 (In x+1)x dy dx

A: Given integral is evaluated as follows

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: 28. Differentiate implicitly to find dy/dx if x + x/y = 7.

A: Given, x3+x/y=7 we can also write as yx3+x=7y,  or y=x7-x3 derivate both side w.r.t x…

Q: 10. S(2x – 3) dx e 2x2 - ебх

A:

Q: ind dy/dx if y=8x-3/24x^5

A:

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

A:

Q: Find dy/dx if y= ln(6x2 + 5y2). dy/dx=?

A: dy/dx = 12x / (6x2 +5y2- 10y)

Q: sinh (:) dz dy dx

A:

Q: Find Ans= dy dx for y = 3x + ex x² - 5

A: Using formula of d/dx(U/V)

Q: /4 - x2 the integral | dx, becomes

A: Given the integrationI=∫4−x2x2dx

Q: 2 1 Estimate -dx using the right endpoint rule with n = 4 3 1+x

A:

Q: Find dy/dx at the given point. 7x2y4=9-x2-9y  at (0,1)

A: Given: 7x2y4=9-x2-9y We have to find the dydx at (0,1)

Q: The derivative of: y =0( sin (In (0))) in (In (0))) + cos(ln (0)) is is:

A: Given function is rewriting in other variables as: y=x(sin(ln(x)))+cos(ln(x)) Product rule of…

Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: 30. 5e dx 31. Зи du - 1 33. x² dx 35. (x+5)* 37. xp (3 In z + 2)4 39, -dz

A: We will solve the integration.

Q: If tan2(2y) – S cost dt = 4 - x² %3D dx

A:

Q: 7 dy if Use implicit differentiation to find 8. dx dy dx +

A:

Q: Find the indic ed derivative. dz x2 for z = x2 dx 1 - x - 2x2 dz dx

A: Formulas:

Q: Find dy/dx by implicit differentiation. 3 cos (9r) sin (2y) = 8 dy/dx =

A:

Q: 5. Solve dy dy + y = 2sin(3x) dx - dx? using the method of undetermined coefficient.

A:

Q: Find dy/dx if 5x1/2 + 6y1/2 =15. dy/dx=?

A: We have to find dydx for 5x12+6y12=15.

Q: What is the derivative of: y = ln ln(1 − cos x)

A:

Q: 4- Find dy/dx for y = 3[(sin-"(e-3x*)²

A: f(x) = 3arcsin2e-3x2f'(x) =ddx 3arcsin2e-3x2=ln(3)·…

Q: i) S'(2x – 1)* dx (In x)2 j) fth dx 7 k) S (1-- -)dx (x2+1) 1) S(1+ tan² x) dx

A: I am attaching image so that you understand each and every step.

Q: Differentiate the following function.   y=ln(x+1)+ln7 dy/dx=?

A:

Q: What is the second derivative of y = 2x -+ sin x with respect to x? a. 2 -+ cos x b. 2 ++ cos x -+…

A:

Q: |e2* sin (3x) dx sinh (Vx) dx

A: We have to evaluate given integration.

Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find dy/dx by implicit differentiation   4Sin (x2) =x Sin (y2)

A:

Q: 2 S Sec'x In cotx) dx (

A: We will solve the problem.

Q: بال 20 S 3y م + dx dy

A: The double quintessential is maximum typically used to calculate the floor vicinity of a…

Q: 4) S tanx dx cosxv1+secx 5) S(1- u)Vūdu

A: (4)  First we integrate this ∫tanxcosx1+secxdx

Q: 2-S S dx dy

A: to find the double integral we consider a strip parallel to x axis

Q: 3- Coshx dy +ly sinh x +e) dx

A: We have to find the solution of differential equation

Q: (у-sinx) dy + dx = 0.

A: dy+(y-sinx)xdx=0⇒(y-sinx)xdx=-dy⇒(y-sinx)dx =-xdy⇒ydx-sinx dx =-xdy⇒ydx +xdy = sinx dx⇒d(x·y) = sinx…

Q: how do i implicitly differentiate (solve for dy/dx) where: xy = tan(xy)?

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 12. Differentiate.   y=4/2−7x dy/dx=nothing   Enter your answer in the answer box.

A:

Q: 9. [sin Ssin' cos–dx 3 3

A: (9) To evaluate ∫sin5x3cosx3dx Substitute sinx3=u and cosx3dx=3du. Therefore,…