Evaluate x2y -3x if x = -3 and y = -1 %3D

Q: Differentiate.  y = x4 - 4/x

A: We have to differentiate the function: y=x4-4x We know the formula of differentiation,…

Q: y²=5x

A: When we will compare it with y²= 4ax then we get a=5/4  Vertex of above parabola (0,0) Focus (a,0)…

Q: differentiate y = (x + 1)(x3 + 5x + 2)

A: Given,  y=x+1x3+5x+2.   It is differentiated by applying the product rule:  f·g'=f'·g+f·g'.…

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: Differentiate. y= 2x (x- 3)5 y' =D

A:

Q: Differentiate y3+y2-5y-x2=-4

A: Use the power law of derivative and simply differentiate.

Q: Evaluate (2x + y) / (xy - 2x) for x = -2 and y = 4.

A:

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: DIFFERENTIATE ITOU h(t)= 6t + 1 6t-1

A:

Q: Differentiate.  y = x3 / ( 1-x2 )

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Q: Find: 2. fx³jo(x)dx

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Q: +4y 0 satisf

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Q: y = 5x + 9 0 %3D y 9x= 502

A:

Q: Evaluate (2x + 3y) / (x+1)  for x = -2 and y = 4.

A: Given2x+3yx+1    x = -2 and y = 4

Q: differentiate y = (1)/(x2 + x + 7)

A:

Q: y? = 4sinx + 3x²

A: Given function is                                                  y2=4sinx+3x2 Derivative of the…

Q: Divide y= x +3x-4 by x+2.

A:

Q: Evaluate 2x + y for x = 2 and y = -5

A: We have to Evaluate  2x + y  , Where x = 2 & y = -5 Put , these values of x & y  So ,

Q: Differentiate: t2 Y : 3t2 + 7t – 1 ||

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Q: Differentiate x³ - 1 y = x* + 1

A:

Q: differentiate y = [(x + 11)/(x - 3)]3

A:

Q: Differentiate. t2 + 1 t4 – 4t2 + 2 y' =

A:

Q: NCx) = x²-2x-5 h(x) = x +4 Noth

A:

Q: Differentiate. y= xtan^-1 (3x)

A: Derivative of product uv'=u'v+uv'ddxtan-1x=11+x2

Q: 4x+y+2y

A: We can use normal algebra to solve this problem.

Q: 4. y = V6 – 7x

A: Definition used -                         Power rule of derivative -…

Q: Differentiate y = x/2x + 3.

A: Given function is y=x2x+3  We will use the Quotient rule fg'=f'·g-g'·fg2

Q: differentiate y = x + 3/(2x + 1)2

A: To differentiate y=x+3(2x+1)2y=x+34x+2 We apply quotient to differentiate the given term…

Q: y = 1 V25-x2

A:

Q: (3x/5y) (y2/6x)

A: The given expression is                                     3x5yy26x Now we simplify this given…

Q: (7x-2)° (나x-l6)°

A:

Q: Calculate y". 3 y = V1 + 4x

A: Given:y=1+4x3

Q: y%3D

A:

Q: Find mLX. Y 3 3/3 W mLX = |

A:

Q: Differentiate: 3t2 + 3t y' =

A: Given that: y=t23t2+3t-1

Q: y=-4x+6;x=1

A: y=-4x+6;    x=1

Q: y" + 3y' = 6 %3D

A:

Q: y' = L 2y 2х

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Q: X-y=- 5 y=-2x – 4

A:

Q: y" – 10y + 25y = e5x

A:

Q: Differentiate.  y =( x+1)/( x3  + x  -2 )

A: To differentiate the given function.

Q: y= 4!n (1+x3)

A:

Q: 2x+4x+1y+y

A:

Q: Differentiate y=(3x+1)2

A: Given,

Q: Differentiate: y=C1ex+ C2e-x+3x

A:

Q: y= %3D

A: Given that : Graph of the function :

Q: 2. y = x5 – 5x+

A:

Q: y=(x+5)^x Differentiate

A: Solution: y=(x+5)^x dydx=ddx((x+5)x)

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: