Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)

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Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

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Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: find nth derivative of y=x/(x+1)^4

A: To find the nth derivative of the function y=x(x+1)4=x+1-1(x+1)4=1(x+1)3-1(x+1)4

Q: Sketch the x^2 And the derivative And integration

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Q: Find the 3rd derivative of the function y=xsinx

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Q: Find the 3rd derivative of the function y=excosx.

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Q: Find  y ″  by implicit differentiation. 2x3 − 5y3 = 5

A: We will differentiate w.r.t x twice using the product rule and the chain rule

Q: Determine the derivative of the function y=arcsin 2x / 1+x2 at x=2.

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: Find the derivative of the function y = x(arcsin x)2 − 2x + 2√(1 − x2) arcsin x

A: Given: y=xsin-1x2-2x+21-x2sin-1x. we have to find derivative of given function for that we will use…

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: find derivative       1. y = ln 3x + x    2. y = ln (t2)    3. y = ln (3/ x)    4. y = ln (u + 1) -…

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

Q: Calculate the derivative of the function y=1+cosxsinx.

A: Given: y=1+cosxsinx we know that for finding derivative of given function we need to use product…

Q: Find  y ″  by implicit differentiation. 4x3 − 5y3 = 8

A: First we find y' by differentiating  both sides of the given equation. Then find y"  by using the…

Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

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Q: Find the 4th derivative of the function y=exsinx.

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Q: 3x y = .3 х +3x

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Q: Calculate the derivative of the function y=3sinx+2cosx.

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Q: Find y''by implicit differentiation. 2x3 + 5y3 = 2

A: We can find y" using implicit differentiation as below.

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

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Q: What is the value of the second derivative y" at the point (4,3)

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Q: Find the derivative of the function y 5sin(x)

A: Consider the given function

Q: Draw the function x = 2y- y2 by using the tools of derivatives? %3D

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Q: Find the first and second order derivative w=3z7-7z3+21z2

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Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: Calculate the derivative of the function y=x(2+3x) without using the product rule.

A: Given function is y=x2+3x. Given function can be written as y=2x+3x2. Power rule of differentiation…

Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: Can the  derivative of f(x) be zero in the interval [-1,0]

A: Given, fx = x4+8x+3  f'x = 4x3+3   We have to find the derivative of fx be zero in the interval -1,0…

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: 8ubject find the derivative of y= X. Ln (esé'sx)

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Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: find the derivative of the fuction f(x)= 5sinx/3x+cosx

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Q: Find the derivative car (x+y) = yrinx

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Q: Determine the second derivative of 6 y – xy²= I Ay"= 2y³ ( 6 – 2x y)-2 ( 2 - x y ( 6 – 2x y )-1) ®…

A: Let's find.

Q: 3) Determine the second derivative of y = 5x* + 4x -+÷-3 2x2

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Q: Determine the derivative of the ff. functions. 5. y = 3 tan 3x, 2nd derivative 6. y = 6 csc x, 2nd…

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