Given x³ + xY 6x = 1 : dy by differentiating implicitly. Do not substitute for y. dx (a) Find dy dx dy from that dx (b) Solve the equation for y as a function of x, and find equation. y = dy dx (c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.

Q: Find the derivative of the function

A: Given  that y = ( ax+ √(x2+y2)) -2 Method used- Chain rule- The chain rule states that the…

Q: 13. y = (3x +1)e³x

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

Q: 1. y = Vz + 3z – 1

A:

Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

Q: Find all derivatives of the function y=1/1−5x.

A: Given function is Differentiating both sides with respect to x ,repeatedly, we get In general, nth…

Q: Find the derivative of y with respect to x if y = (8x2 - 16x + 16) ex. dy dx =

A: y=8x2-16x+16ex

Q: Determine the second derivative of 6 y – xy²= 1 -

A:

Q: Find the derivative of y = 33-22 dy de 画

A:

Q: Calculate the second derivative y : Vx - Vy = 1

A:

Q: 5x² + 3xy = 3y², find the derivative dy da. as a function of x and y.

A: Consider the equation

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.

Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x +…

A: