Calculate the derivative indicated. dy where 9. r3 + 9x? dx? lx=5

Q: Calculate the derivative of y with respect to r. xe = 5xy+3y Answer(s) submitted:

A: Given:         xey=5xy+3y3   Differentiating on both sides we get         ddxxey=ddx5xy+3y3…

Q: Find the indicated derivative using implicit differentiation. dx (xy)? + y² = 4; dy dy

A:

Q: Calculate the derivative of the following function. y = 11+ tan²x dy %3D dx

A:

Q: Use the quotient rule to find the derivative of the following. 2x + 1 y = 2 +7 dy dx %3D

A:

Q: Calculate the derivative of y with respect to x. xe' = 3xy + 5y dy dx

A: We have to find

Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: Find the derivative of the function. 8. y = 7 dy %3D xp

A: As we know thatddxxm=mxm-1

Q: Find the derivative of the following function. f(y) = eYy" d Yy" = 0

A: ddy(eyye)=ey(eye-1)+ye ey   [From chain rule]

Q: find the indicated derivatives

A: z=1w2-1⇒z=1w2-112⇒z=w2-1-12

Q: find the indicated derivative. dy/dx if y = 1

A: y=1

Q: [ sin (Fresnel function) y =

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the indicated derivative dy/dx 2.)  y=cos(x−y)

A:

Q: Find the derivative. y = 5t cos (t) dt

A: To find the derivative of: y=∫0x5t cos(t6) dt...(1) The Fundamental Theorem of Calculus says:…

Q: 3. y= Vx*e*

A: y=x23exProduct rule f(x)* g(x)'=f'(x)g(x)+f(x)g'(x)

Q: dy Find the derivative, y' = dx , of y = sin(cos(tan(sec(csc(cot(x²))))))

A:

Q: Evaluate the derivative at the given value of x. dy Vx, find dx If y = 3 OA. 16 11 OB. O B. 16 11…

A: Differentiate the function y with respect to x to find dydx.

Q: Find the derivative of the following function. y = sec 20-3 dy d0

A: We have: y = sec2θ - 3 We need to calculate dy/dθ Applying linearity rule: dy/dθ = d(sec2θ)/dθ +…

Q: Find the indicated derivative and simplify. dy 41 Int for y = - dt et

A: Product Rule of differentiation : du.v.wdt =dudt.v.w+u.dvdt.w+u.v.dwdt.

Q: dy dx given 7æ = y Inr +7e is The derivative

A:

Q: find the values of the derivatives

A: Given: w=z+z first we differentiate given expression with respect to z then substitute z=4

Q: L. Find the Indicated derivative. 1. y; given r'+y' =8

A:

Q: dy 10. y? = x3 Find in terms of x and y. dx

A:

Q: Can i get help step by step please

A: We have to use the formula: with a=11

Q: Find the derivative of the function P = (4+ ln r)8. 0.8 %3D dP dx

A:

Q: Calculate the derivative indicated.

A: Since, y=4t-3+3t2  -(i)dydt=ddt4t-3+3t2=-12t-4+6t⇒dydt=-12t-4+6t

Q: Find the indicated derivative and simplify. 1 dy 7 for y = 49x' (x' + 10) dx

A: Given that, y=49x17(x7+10)

Q: Calculate the derivative indicated. d²y dz? \z=8 y = where + 522 Answer:

A:

Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

A:

Q: Calculate the derivative indicated. dy where y = 5- x3 + 3x? dx2 Ix=1

A:

Q: dy y = V3x? – 4x +7; dx

A:

Q: Find the derivative of the following function. - 4 %D (7x x + 1) りの X. 口 dy %3D dx

A: Given:- y=-47x5+16 To Find:- dydx

Q: Find the derivative of the function. f(t) = 7t sin(tt)

A:

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: Calculate the derivative of the following function. y (3x-14) dy xp %3D

A: We have to find derivative

Q: Find the indicated derivative. dy if y %3D - 3х xp dy dx %3D

A: Recall: dα f(x)dx=α d[f(x)]dx; where, 'α' is any constant. dxndx=n.xn-1

Q: Find the indicated derivative. If y = x5 – x/2, find d?y dx2 d?y x2 %3D dx

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Q: Find the derivative of the function. - 6 y = dy %3D dx

A: For the solution follow the next step.

Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: An equation is given as y=6x3+5x2. The objective is to find the second derivative of the given…

Q: Find the indicated derivative. y = x1.5 / 3 - x0.3 / 2     ; dy/dx

A: Given Data The equation is y=(x1.5/3)-(x0.3/2).     Differentiate the given equation…

Q: Calculate the derivative indicated. d' | 1 dæ? where y = 2- + 2x? =6 6 Answer: 4x – -

A:

Q: Calculate the derivative indicated. d'y 2 where y = 4. dx? x=7 Answer:

A:

Q: Find the derivative of y with respect to x of y = 9ln du If y = c In u, identify u from the given…

A: To find : The derivative of the given function .

Q: Find the indicated derivative and simplify. 1 dy for y = 49x' (x7 +2) dx dy %3D - dx II

A:

Q: Find the derivative of y with respect to t. y = sec 0<t< 7 | 7t5

A: Given that        y = sec-1(1/7t5) Now we have to determine the derivative of y with respect to t.

Q: dy b. 1The derivative for the function dx y = cot¯ 3– r2

A: We can solve the given problem using chain rule of derivative.

Q: Find the derivative of the given function. v=2 (3t + Int) Ap %3D

A:

Q: Find the derivative of the following function. y = 5x sin -1x dy dx

A: We can find dy/dx using product formula as below

Q: dy Find the derivative, for the following function. dx y = + 5x + 1

A:

Q: Q1/ Find dy/dx by using the definition of derivatives for the following functions; 1. y = =

A: 1) Given- y=-4xx To find- The value of dydx using the defination of derivative for the above…