Differentiate the function. y = (3x- 2)² (1 –x³)² dy

Q: Find the function of ( x +y )dy = (x - y )dx

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Q: Differentiate the function. y=[(5x? + 3x +2) (x - 4)? + 3x + 2) (x - dy dx II

A: Solve the following

Q: Find for the following functions: - dx 3x2-4x+4 1) y = %3| Z

A: dydx is called the derivative of function y.Derivatives of polynomials are :→dxndx =…

Q: find dx/dy for the folloing function  y=sec⁴x _ tan ⁴x

A: Explanation of the solution is given below...

Q: Differentiate the function. y = V 3x2 + 8x + 1 dy dx

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Q: Find for the function y = 3*. dx dy dx 11

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Q: Find the function of 3 (3x^2 + y^2)dx - 2xydy = 0

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Q: dy Find for the following functions dx (i) y = (2x³ + 3x + 8)º (ii) y = esin(2x²+3x–2)

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Q: Find dy dx II - for the function y = 17x. dx

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Q: +y = e* + cosh 2x+x +y%3D

A: Solution:-As per guidelines I submit first question only

Q: y = eA+esr

A: It can be solved using chain rule for composition of two functions.

Q: 19. y = In(e* + xe*) %3D

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Q: topic: derivatives of higher order

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Q: Find the function y(x) satisfying dy/dx = 6x-7 and y(8)=0 Y(x)=?

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Q: Differentiate the function. y = (3x-4) (2-x*)° dy %3D dx

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Q: Differentiate the function y = e0.4t. dy dt

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Q: Differentiate the function. y = 7x dy %3D

A: It is derivative problem.

Q: Differentiate the function. y= (5x+ 4)* dx

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Q: Integrate the function. y dy (25-y)3/2

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Q: If y is a function of x and y3 + y2 - 5y - x2 = -4, find dy/dx implicitly.

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Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: y(x) =x' (2x – r²)

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Q: Differentiate the function. y = (3x- 1)* (4 - x5) 3 dy dx II

A: To differentiate the given function:

Q: d²y Find for the following function. 2 dx y= (3x² +1) -5 d²y dx² =

A: Given: y=3x2+1-5 To find: the second derivative of y. The power rule of differentiation states that…

Q: Find dx/dy for the function 2x3+xy2+2y=π2 when x=1 and y=2

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Q: dy x3 + 2xy. y 7. Find for the implicitly defined function dx

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Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: Differentiate the following function. y = x12 ex dy dx II

A: To differentiate the function y = x12ex

Q: Find dy/dx when a) y = -3/x8

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Q: find the dy さ× when 3In X リ=(メ+z)m

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Q: y = ( 2x³ - 8x )* Find dy/dx when x = -%

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Q: dy Find dx for the following functions (i) y = (2x³ + 3x + 8)º (ii) y = esin(2a²+3x–2)

A: By using chain rule we find the derivative of the given functions with respect to x.

Q: Differentiate the function. -2 y= [(3x2 +4x +5) (x – 4) < dy dx II

A: We can use the chain rule of derivative in order to solve the given problem.

Q: dy Q1) Find dx for the following function x²(x² + y²) = y²

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Q: dy Find for the following functions: dx 2 y= x³+ +x -3 -3 to

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Q: y? dx + (x2 + 3xy + 4y?) dy = 0

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Q: Q:: Find dy for the following functions: - dx 5x²y5 - 3x = x* + 3y?

A: Given function is : We have to differentiate it with respect to x.

Q: For the function y = x² + 2x, the value of dy when *=3 and dx=0.1 js .

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Q: dy 2) Find for each function: dx a. y= 5x – 7x² - b. y= Jx 1 y С. x² - 5 d. y Зх +1

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Q: dy Find for the given functions. dx3 a) y = /2x + 3 b) y = 2.x – 1

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Q: dy = 4x -3 and y(4) = 0. dx Find the function y(x) satisfying

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Q: Find dx5 d³y for y = sinh(4x²) – /coth(6x³) %3D

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Q: find dy/dx y=t-1. x=t+²

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Q: Differentiate the function. y = (2x-5)³ (5-x4) 4 dy dx

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Q: y(x) =x' (2x – r²)

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Q: dy Estimate dx of the function y = 4x O 16 O 17 O 18 O 20

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Q: -1 df For the function Y = f(x) = x² + 2x + 4, x > – 1, find dy y=7 (f-1)'(7) =

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Q: Differentiate the function. y=[(sx +2x+3) (x-3)]² dy dx II

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Q: Let ƒ(x) = x2 - 4x - 5, x&gt; 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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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: