5) Find the range of values of x for which given function is decreasing dy = 4x dx 10

Q: If y=2x arccos x-2/1-x2then y is dx 2/1-x2 B 2 arccos x 2x arccos X None of the given choices (E 2…

A:

Q: Differentiate the given function. x-5 %3D x-2 dy %3D dx

A:

Q: dy 3. Find X by implicit differentiation. √x+y+√xy = 4

A:

Q: Find the exact length of the curve. Y=(1/4)x2-1/2 ln(x), 1 less than or equal to X less than or…

A:

Q: find dy/dx if: y = x ln (x2 +4) +4arctan(x/2) - 2x

A: Please refer the attached image for complete solution.

Q: 3 2x+3 Integrate the following function: y = dx x²+3x-5

A: An integral expressed as the difference between the values of the integral at specified upper and…

Q: 18. S V1+x dx 1-х

A:

Q: 8. 4S f(x) dx = dt 9. S f(t) dx d 10. dx | f(x) dx = a

A:

Q: find the derivative (dy/dx) of the given function:  1. y= e^X sin X 2. y= (cos x)^9 3. 1/ ln(X)  4.…

A: Given,

Q: 4. Differentiate the following function.   y=5e x−5x dy/dx=nothing   Enter your answer in the…

A:

Q: The value of dy/dx for implicit function xy – x + y - 2 = 0 at point x = 1 is ... Nilai dy/dx untuk…

A:

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

A:

Q: 10. (x+2y) 을. Fy. dx

A:

Q: Evaluate: e-y- [²" [m(x + y) - 7] dy dx In(x 0 x

A:

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Find the derivative of the given function. 5x y= In 6+x dy dx

A:

Q: dy Find for the following function: dx 1- y = etan'x 2- x³y + x²y = 2 at x = 2 3- y = log4(x³ – x)

A: Finding Derivatives by applying chain rule of derivative

Q: 2. Find by implicit differentiation. dy dx 4 (a) x +xy +y = 5 2 2 3 =D5 3 2. (b) x- xy + y 3. =D1

A: Recall: An equation of the form f(x ,y)=0 , in which y cannot be expressed directly in terms of…

Q: The slope of the line normal to the graph y = 2 ln(sec x) at x = is: O-1/2 O non-existent O-2 2

A: The graph y=2lnsecx at x=π4

Q: 1- Find for the function yt + xy2 – 2 = 0 for x = 1, and y = 1. dx

A: We'll answer the first question since the exact one wasn't specified.  Please submit a new question…

Q: (b) by using gamma function x-1/3e-Bx dx

A: Gamma function

Q: 1. Find dy dx S(x)= e**/2x-5 (6-5x)* (iii) f(x) =

A:

Q: 1. Find ƒ (x) dx given [² f(x) dx = 2 and ₁² f(x) dx = 3

A:

Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

A:

Q: 1- find dy/dx as a function of x. 5 y = 13 – 4t

A: Dear Student, according to Bartleby guidelines, we can answer only first question. Therefore, we…

Q: 2. S dx exte-x 3. fx sec² x dx 4. esinx cos x dx

A:

Q: (x+5) dy dx+ (x+5) dy dx+ 1-x2 14. 0, L 4-x2 (x+5) dy dx 0.

A:

Q: So(VE + vZ)° dx = f° xdx - (Vã + vZ)dx • f;(Vã + v2)dx 6. So x(x² + 1)dx = - S x*dx + f, xdx 7. S'…

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

Q: Find d-y for the given function. dx2 y = x - sin(x) 6 dx2 %3D

A:

Q: 1. dy Find dx f(x) = -x +5x-3 %3D dy - 2x +5 dx

A:

Q: 4. if x^3+y^3=2 find the value of (d^2y)/(dx^2) at the point (1,1)

A:

Q: 2, x cost dt dx А. 2 В. 0 С. 1 D. x

A:

Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

A:

Q: Find the indicated derivative. dy for y = 1- 2x2 x4 - 2x2 dx + 3 dy dx

A: Quotient rule: ddxuv=vddx(u)-uddx(v)v2

Q: What is the value of dy/dx at x = 1 of the function * = (20" – a*) () x+1 y = - 2-1

A: We know that: The Power rule: ddxxn=nxn-1 The product rule: f·g'=f'·g+f·g' The Quotient rule:…

Q: -11 If " f(x)dx = 1 ; S,f()dx = 22 find f" fx)dx. Eiles

A:

Q: find dy / dx 2. (xーソ) メ

A:

Q: 5. Let y=(f(x)+5x^2)^4 and suppose f(−1)=−4 and dy/dx=3 when x=−1. Find f'(−1).

A: Given , y = (f(x) + 5x2)4 and also given that ,f-1) = f , dydx =3 when x=-1 , we have to find f'(-1)

Q: find dy/dx by implicit differentiation. x8y+xy8=9

A: Given equation is x8y+xy8=9 We need to find dydx using implicit differentiation.

Q: 1. Evaluate : S (4x* + dx 2 S"(4x³ +)dx 0. x+1

A:

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x3+y4=3

A:

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: Evaluate S 0 2-9.x² dx using the Gamma function.

A:

Q: 2- find dy/dx e2x = sin (x + 4y) 3-find an equation for the line tangent to the graph f(x) = x –…

A:

Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: 5 If [F(x) dx f(x) dx = 7.4 and 1.°F(x) dx f(x) dx = 5.7, find [²1 f(x) dx.

A:

Q: Find the length of the curve y = ln x from x = 1 to x = e.

A: Given:Find the length of the curve y = ln x from x = 1 to x = e.