If y = 2x^2 - 3x and dy/dt = 3, find dx/dt when x=2.

Q: dx/dt = 2 and y=x^3, what is dy/dt when x=-4,2,6

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Q: finf dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y).

A: The given function is: x2=3x+6y3x-6y

Q: A particle moves along the curve y = x^(3/2) in the first quadrant in such a way that its distance…

A: Let (x,y) is a point on y = x^(3/2)Distance of (x,y) from (0,0) is given by:

Q: If x+y divided by x-y= x^2+y^2 and dx/dt=12, then what is dy/dt when x=1 and y=0? show all work…

A: Given thatx+yx-y=x2+y2x+y=(x-y)(x2+y2)  [cross multiply]x+y=x3+xy2-x2y-y3

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Find dy/dx by implicit differentiation   4Cos x Siny  =1

A:

Q: Integrate:  (5e^-3x - cos (6x))dx

A: Integrate

Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: Integrate SxIn x)dy

A:

Q: Find dy/dx by implicit differentiation. ex/y = 2x − y

A: Given:

Q: Calculate the derivative: + (2t3 – 9t) dt = dz

A: Evaluate the given derivative as follows. ddx∫0x2t3-9tdt=ddx2t44-9t220x=ddx2x44-9x22-0

Q: find dx/dt at x=1 if y=3x^2+3 and dy/dt=1

A:

Q: Find dy/dx by implicit differentiation. xy + 2x + 2x2 = 3

A: Given, xy + 2x + 2x2 = 3

Q: Find dy/dt when x = 1 if y = x2 + 7x - 5 and dx/dt = 1/3.

A: Given:

Q: 2. Find dy/dx by implicit differentiation: 5x^2y+5y^2x=-3

A:

Q: Find dy/dx in terms of x and y if cos^2(9y)+sin^2(9y)=y+7 dy/dx=   implicit derivative problem.

A:

Q: xe dx

A: In the given question we have to solve the integral s.t ∫xexdx. we will solve the indefinite…

Q: Integrate  dy/dx sinx=1

A: We know, ddxcosec x = -cosec x·cot x ddxcot x=-cosec2x ddx(cosec x-cot x)=-cosec x·cot x + cosec2x…

Q: √2xy dy/dx =1, given y=1 when x=1

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Q: Find dy/dx by implicit differentiation. 3x2 - 3y2 = 16 %3D dy/dx =

A:

Q: Find dy/dx by implicit differentiation. y3+9xy+4x3-12x=0

A: Here we can find the derivative as below

Q: find dy/dx by implicit differentiation.  1. xy + 2x + 3y = 1  2. x3 + 4xy - 3y^(4/3)=2x

A: Since there are two questions posted, we will answer the first question (1).If you want the second…

Q: Find the second derivative of y = (4 – 2x)2 + 2sinx. dy Directly type your answer WITHOUT y' or dx…

A:

Q: Use Leibniz's rule to find dy dx dy dx for y= 8x-1 √ (t4-5) dt.

A: Concept: Newton Leibniz Theorem : Newton Leibniz A formula for differentiating a definite integral…

Q: Find dy/dx by implicit differentiation. 6,,3 x°y - y = x dy/dx

A: On implicit differentiation we differentiate both sides of the equation with respect to x . Then we…

Q: Solve for the differential of y when y= sinzx. x= -, and dx 3 2 4

A: we have to solve the problem

Q: Find dy/dx by implicit differentiation. 2(x^2+y^2)^2 = 25(x^2-y^2)

A:

Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: The given equation is 3xey+yex=4.  Find the derivative of the given equation. that is dydx Using…

Q: Compute the derivative: 4 te* dt d 3z2 L tet dz -1

A:

Q: dx 2.

A:

Q: Find dy/dx by implicit differentiation. eX/y = 3x – y y' =

A: Differentiate wrt x

Q: The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given by…

A: One of the methods to solve a differential equation is by separating the variables and integrating…

Q: Find dy/dx by implicit differentiation of 6x3+x2y-xy3=4

A: Product rule of differentiation:If f(x) is a function of u and v where both u and v are variables…

Q: Find dy/dt at x = 1 and y = x^2 + 3 if dx/dt =

A:

Q: Find dy/dx 1. y = sin ( 5x - 9) 2. y = sin-4x/5

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Q: -5 1 -dx Jo 2x+4 1 dt 2 V6-t 1 ii) S,

A:

Q: Soru 1. (1+ 25)dx + 20* (1 - )dy = 0 ; -) dy = 0 ; + 2ey) dx y(0) = 1,

A: Given that:                           1+2exydx+2exy1-xydy=0    .........................(1)…

Q: ex dx

A:

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

A:

Q: find dy/dx by implicit differentiation when x^2=(3x+6y)/(3x-6y)

A: The equation is  x2=3x+6y3x-6y Differentiate both sides with respect to x ddx(x2)=ddx3x+6y3x-6y By…

Q: ion dy 3t2 dt 2y + 2t3y' tion: ||

A:

Q: S(2x% + 3x -1)dx - 3x –1 dx Integrate

A:

Q: Find dy/dx by implicit differentiation. 72 – 5y² = 4 dy/dx =|

A:

Q: dy Differentiate implicitly to find dx exy 2x+9y+3

A:

Q: Evaluate the integrals

A: Given integral is:

Q: Find the integrating factor of dy/dx +2ytanx=sinx

A:

Q: Let y=sqrtX. Find dy/dt when x=4 and dx/dt=3

A: →Use chain rule of differentiation.→dxndx = n xn-1     When n = 12         dx12dx = 12 x12-1…

Q: Differentiate the function. 1 y3= (2x +3) dy dx

A:

Q: If x3 + y3 = 9 and dx/dt = -3, then what is dy/dt when x = 1 and y = 2?

A: Given,

Q: Find dy/dx by implicit differentiation. 2x2 - 2y? = dy/dx =

A: We can get dy/dx by differentiating both sides w.r.t x. The solution is explained in step 2.