-f(x) = x* – 6x³ –+ Vz7 %3D f'(x) = %3D id x5

Q: Find dy/dx by implicit differentiation   2x3 +x2y  -xy3  = 2

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Q: Find d2y/dx2 by implicit differentiation x3 + y3 = 1

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Q: Find derivative of 2x^4y^3-xy^2 using chain rule.

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

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Q: Find the first derivative: y= ln v5x3 –- 2 5, O y = 222 %3D 523-2 O y' = 322 5z3-2 O y' = 622 5z3-2…

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Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: Find the derivative of the function y = (4x + 1)4(5x + 1)-5. dy (16x+4) 3 (4x+1)4 dx (5x+1)5…

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Q: x + x dx x2

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Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: he first derivative of y = 3x ++ 2V - a is %3D 3 10 y' 5 5z 5 3z 3 3 O y' 10 %3D 2V14 3 O y' 3. 10…

A: To find the derivative of: y=3x15-23x+35+2x34-5x23⇒y=3x15-23x+35+2x34-5x-23...(1) Note that:…

Q: What is the first derivative of f(x) = ln 3z²+7z ?

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Q: 2x2+x dx x+1

A: Integration ∫2x2+xx+1dx

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

A: Use rules of derivative

Q: 10. S(2x – 3) dx e 2x2 - ебх

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Q: Find dy/dx by implicit differentiation. 9x3 + x2y - xy3 = 1

A: Given that: 9x3+x2y-xy3=1

Q: y = (Arccos 3x³)³

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Q: Find the anti-derivative of: S(3x* – 6x)° (2x³ – 1)dx

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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: If 3x2 + 3x + xy = 2 and y(2) 8, find y' (2) by implicit differentiation. %3D 1

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Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: 3x+4 3. f(x) = x2+3 12 x3+6x2+3x 4. f(x) = 3x

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Q: Find the derivative of y= ln (6X^2+3X)^3/(7X-2)

A: Topic-Derivative

Q: Determine the second derivative of f (x) = x²e* at x = -2 with a step-size of h=0.50 using Central…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the anti-derivative of: f(3x^3+9x)^6 (x^2+1)dx

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Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

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Q: F(x) = "(5t - 1) dt %3D

A: We need to find the first derivative of F(x)=∫x2x(5t-1)dt. By Leibniz's integral rule,…

Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

A: first, simplify the function  y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2

Q: 7. y = Vx + 2

A: Using Delta method differentiate y. And using rationalising.  Follow step 2nd  .

Q: k(x) = x In x %3D

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Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

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Q: The second derivative y" of y = x3 + ex – sin(2x) is . 1. O y" = 6x + eX – 8 sin(2x) 2. O y" = 3x +…

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Q: A) Differentiate y = 4Vx +- +1 8 6 B) Find the second derivative of y = 4Vx + 8 + 10 Vx

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Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

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Q: Determine the second derivative of f(x) = x²e²x at x = -2 with a step-size of h=0.50 using Central…

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

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Q: Find the differential of the function y=lntan2x at x=π/8.

A: Given: ,at x=π/8 Differentials are infinitely small quantities. Use the term for differentials as…

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: What is the first derivative of f(æ)= ln(3z²+7z )? 5z

A: Given  f(x)=ln3x2+7x5x We know that derivative of ln(x)=1/x…

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 ; d'y/dx 1. y = 2. Y = (7x + 2)5…

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Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: Find the second derivative of y=x-1 at x=2

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Q: What is the integrating factor of y' - 2xy x?

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Q: If 5x + 2x + xy = 3 and y(3) 16, find y'(3) by implicit - differentiation.

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Q: If 3x + 2x + xy = 4 and y(4) = – 13, find y'(4) by implicit differentiation. %3D

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.