(z2)juə = (x)/ sin(#x). Compute f'(x). %3D

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

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

Q: Find the second derivative (dy/dx) of sin(x) + sin(y) = 1

A:

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

A:

Q: 4. Find by implicit differentiation of x sin(y) = y cos (x) dx

A: The given problem is solved below in detail.

Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) At the point (, (2n…

A:

Q: Find dy/dx by implicit differentiation. 52) x3 + y3 = 5

A: Given implicit function : x3+y3=5

Q: Find dy/dx by implicit differentiation. x3 + y3 =1

A: The equation: x3+y3=1

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: What is the derivative of y = cos-1 (x² + 2)? %3D

A: Derivatives formula ddxcos-1x=-11-x2 ddxxn=n xn-1

Q: Find the derivative of y with respect to x 3tan-1x + sin-1x = 4

A:

Q: dy by implicit differentiation if dx 3 9. = 1. Find - -

A: The given function is 3y+9x=1

Q: Find dy/dx by implicit differentiation. x2 + y2 = 9

A:

Q: Can you help me step by step?

A: Differentiate with respect to x,

Q: A// Find the derivative of y with respect to x 5) 3tan-1x + sin-1x = 4 6) y = ln- 1+ ex = la,

A:

Q: x* + x²y² + y³ = 5

A:

Q: Find dy/dx by implicit differentiation. 5x + y = 8 + x²y²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find dy/dx by implicit differentiation. x2y3 - 12xy2 = 11

A: Implicit Differentiation Method: 1. By taking d/dx on both sides of equation. 2. Then solve For y'.

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Find dy/dx by implicit differentiation   x2 + 5x + 9xy - y2=4

A:

Q: Find the derivative of the function. sin(x) y = In(1 + 6v) dv cos(x)

A: Find the derivative of the following function

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: What is the derivative of * y = arctan(x2 + 1)?

A:

Q: find dy / dx by implicit differentiation.

A: We have to find dydx by implicit differentiation: x5+y5=16 We know the formula of differentiation,…

Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

A:

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

A:

Q: find dy/dx by implicit differentiation x3 + 4xy - 3y4/3 = 2x

A: Given: x3 + 4xy - 3y4/3 = 2x

Q: compute the derivative. y = 4 cos(2 − 3x)

A: We know that, ddxcosx=-sinx. Chain rule states that, ddx(f(g(x))=f'(g(x))×g'(x).

Q: Find dy/dx by implicit differentiation. x5 + y5 = 16

A: To Determine: Find dy/dx by implicit differentiation. x5 + y5 = 16 Given: we have x5+y5=16…

Q: Find dy/dx by implicit differentiation. x2y3 − 12xy2 = 6

A: To determine the implicit derivative.

Q: Find the derivative of the function

A:

Q: Can you help me step by step?

A: Given an equation

Q: Find the derivative of the function sin(x) In(6+4v) dv cos(x) y y'(x)=

A: The given function is,

Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – /cos(x) (2n 4+V3 2V3 At the…

A:

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

A:

Q: find dy/dx by implicit differentiation yetan-1 x = 2

A: y·etan-1x=2

Q: Find the second derivative y “ of " of y = 5z +sin zcosz

A:

Q: Find the derivative of the function. sin(x) y = /cos(x) In(8 + 3v) dv y'(x) = 0

A: Here we use Leibniz integral rule and define the formula:

Q: What is the derivative of y = arctan(x² +1)?

A: Find the derivative of the function

Q: Find the second derivative y=lnx + 3 sin(4x) d²y dx² of

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Q: 7) y=cos/2x+1

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

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Q: Find the derivative of y with respect to x. y = 4x sin -1 (4x°) + /1– 16x' y = 4x° sin -1 (4x°) +…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: Find the equation of the line tangent to f(x) = cos² x – sin²| %3D at x = 6

A:

Q: What is the derivative of the: y = (1 + cos2 x sin x2)3/2

A: Given: y=1+cos2x sinx232 differentiate with respect to x, dydx=ddx1+cos2x sinx232dydx=321+cos2x…

Q: b) y = cosh(2Vx+1)

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: The second derivative d^2y/dx^2 of y^3 = xy + 1 at the point (0,1) is

A:

Q: 5. Find dy/dx using implicit differentiation given x²y³ + cos y = 0.

A: Definition used -  Implicit differentiation -     It is a rule by which we can find the derivative…