Consider the function z=x ln(1+ y“), if x=2-t and y=\t , use an appropriate form dz of the chain rule to find at t=1. dt

Q: y(x) = tan{/3x² + In(5x*) - In(5x'

A: Given  y(x) = tan3x23 + ln5x4 We have to find dydx.

Q: əz Use chain rule to find z = x² + 3wxy + w², with x = 2t + 1, y = et and w = 3 – t2.

A: The aim is to find, The formula for chain rule is,

Q: Evaluate y' of the given functions: 1. y = (x² – 2)(x + 3)

A:

Q: Əs' at (1) z = x²+ y², x= s+2t, y = 3st (2) z = sinxcosy, x s-t, y = s² +t³ %3D (3) z = e" tany, x =…

A:

Q: Find ∂z / ∂v using the chain rule if z = sin(x/y), x = ln(u), and y = v. Put the answer in terms of…

A: Firstly, we find partial derivative of z with respect to x and y, partial derivative of x with…

Q: Find y as a function of t if 25y"- 70y' + 53y = 0, and y(5) = 8, y'(5) = 1. %3D y = %3D

A: Given: 25y''-70y'+53y=0  with the IVP y(5)=8 ,    and   y'(5)=1By…

Q: Evaluate the derivative So (3t² – 2t +1) dt. -

A:

Q: Let F be the function given by F (x) = S" (sec² (5t) – 1) dt. Which of the following is an…

A: We have given that   F(x) = ∫2x(sec2(5t)-1)dt        ...(1). And we have to find F'(x). To find the…

Q: Find dy/dt of y=(1+lnx)/1-lnx

A: consider the equation