Q8/ Use implicit differentiation to find of the following curve at the point (2, 3). dx2 2x3 – 3y2 = 8 20 Ans./ 27

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

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

Q: Which order of differentiation enables one to calculate fxy faster:x first or y first? Try to answer…

A: Partial derivatives are derivatives of multivariate functions taken with respect to only one…

Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

A:

Q: 4) fip by implicit differentiation, where Find dr y + x?y³ = x* + y.

A:

Q: Which order of differentiation will calculate fxy faster: x first or y first?  a. ƒ(x, y) = x sin y…

A: The given function is,

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

A:

Q: By using first principle of differentiation find f'(y), if ƒ(y) = Му—N

A: Given: f(y)= My-N According to the first principle of differentiation, the derivative of a function…

Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: Use implicit differentiation to find dy/dx…

A:

Q: find the equation of the tangent lines using implicit differentiation 2xy+x^2=3 at (-1,1) and…

A: Given: Equation of the curve,       To determine: Equation of the tangent line at (i) (-1, 1) (ii)…

Q: Use implicit differentiation to find dy/dx.

A: 4x3+lny2+2y=2x

Q: Using implicit differentiation, what is the value of dy/dx in 4x-x²y+y³ = 10 at point (1,1)?

A:

Q: Which order of differentiation enables one to calculate fxy faster:x first or y first? Try to answer…

A: Given function is fx,y=xsiny+ey. Partial derivatives are derivatives of multivariate functions taken…

Q: Which order of differentiation enables one to calculate fxy faster:x first or y first? Try to answer…

A: Definition used -                       Partial derivative -                       In partial…

Q: Use implicit differentiation to find dy/dx for the function 3x2- y4-y2=4x

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Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve sin(x + y) = 2x…

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Q: Determine the derivative of the function defined by h(x,y) = Arctan (2) + V3Arcsin () at the point…

A:

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: To determine the equation of tangent line to the given curve at point (1, 0).

Q: Use chain rule of differentiation to find  Y is equal to 3x²-5x +12 X is equal to 2u²-5u +11 Find…

A: Consider the given function asy=3x2-5x+12 And x=2u2-5u+11

Q: Use implicit differentiation to find dy/dx

A: An implicit function definition is one in which the independent variable cannot be written as a…

Q: Use implicit differentiation to find * at the point (-2,3) on the curve x³ + y³ = 19. %3D

A: Given:- x3+y3 =19 To find:- d2y/dx2

Q: Q4 Use implicit differentiation to find an equation of the tangent line to the following curve at…

A:

Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: Find the derivative of the function g(x)= integral  x2  tanx  (1/square root 4+t4) dt

A: Leibnitz integral rule for Differentiation :               ddx ∫α(x)β(x) f(t,x) dt = ∫α(x)β(x)…

Q: 2. Use the implicit differentiation to find an equation of the tangent line to the curve at the…

A: Given curve ,yesinx=xcosyNow using implicit differentiation , we…

Q: dy Use implicit differentiation to find ɖ& er + x - ỷ = 10 1) f(х) - Зе* - 8еsx %3D 2) Find the…

A: Sum Rule of differentiation : ddxax+b=ddxax+ddxb Chain Rule of differentiation : ddxfgx=f'gx×g'x…

Q: y = |x + Vx + vx y = 3t + /2 + VT-t %3D

A:

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve 2(x + y = 25(x…

A: Explanation of the answer is as follows

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/dx by implicit differentiation and evaluate the derivative at the given point. (5x + 5y)3 =…

A:

Q: Find oy y'

A: We have to find

Q: Use implicit differentiation to find dy/dx. 2xy-y2 = 1

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Q: Q4/B By using implicit differentiation find dyidx for y 3x*+ cos.ry

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Q: Find the equation of the tangent line to the curve at the given point using implicit…

A:

Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: 40 XY dy dx

A: In implicit differentiation, we differentiate both sides of the equation.

Q: Use implicit differentiation to find the specified derivative at the given point. Find ду at the…

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Q: Use implicit differentiation to find the specific derivative  a⁴-t⁴=6at²;da divided by dt

A: We have to use implicit differentiation in the following to find dadt. a⁴-t⁴=6at²

Q: By using first principle of differentiation find f'(y), if fo) = My-N %3D

A:

Q: dy Use implicit differentiation to determine given: 2x3 + x²y – xy3 = 5 - dx

A: Given, 2x3+x2y-xy3 = 5  We have to find dydx

Q: 26. х3 + уз %3D бху — 1, (2, 3)

A:

Q: Use implicit differentiation to find dy/dx. x5-30xy+y5=1

A: Given: x5−30xy+y5=1dydx=?

Q: Use implicit differentiation to find the specified derivative a⁴-t⁴=6a²t find da ÷dt

A: We have to find dadt using implicit differentiation for the given equation: a4-t4=6a2t Here both a…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Given :          2x2+y22 = 25x2-y2  , 3,1

Q: 12. y= tanh(t2 +1)

A:

Q: Use implicit differentiation to find at the point (-2, 3) on the curve dx x³ + y³ = 19.

A: Given the curve  x3+y3=19. We have to find d2ydx2 at the point (-2, 3) using implicit…

Q: y = a Cos- -1(1-2) + v2ах - х + V2ах — х2

A: Explanation of the answer is as follows

Q: Use implicit differentiation to find dy/dx…

A: use implicit differentiation to find dydx given 4x3 + ln y2 + 2y = 2x

Q: Use implicit differentiation to find dy/dx.   y^2-ye^x - x ln y=12

A: To find dy/dx by implicit differentiation.