Use the Chain Rule to find dw/dt. w=ln(sqrt(x^2+y^2+z^2)) x=6sin(t), y=9cos(t), z=8tan(t)   dw/dt=?

Q: 3x4-4 cos x = -6

A: Find d2y/dx2 implicitly in terms of x and y3xy − 4 cos x = −6

Q: Calculate dy/dx. No need to expand answer. y=7x^2-9x+17/2x+4 dy/dx=

A:

Q: Find dy/dx and d^2y/dx^2.

A: Given

Q: y = ln(7x2 + 5y2) find y'

A: We have to differentiate the given function: y=ln7x2+5y2 We will use following formulae:…

Q: Find dy/dx and simplify results: 4xy-2x^3+3/4

A: Given: y=4xy-2x3+34 To find dydt

Q: find dy/dx, when y=13(20-x4)5

A: To find , when .

Q: Simplify d/dz(yz dy/dz)

A:

Q: 2 dr x>1 rVF - 1

A: We will find the integral as following.

Q: sec? (1/x) dx. 9: (16pts) Evaluate

A:

Q: x^2(lnx-lny)dy=y(ylny-ylnx)dx

A: Explained below

Q: 2. dx 2. Solue integra

A:

Q: y-Castesinz şinz

A: The detailed solution is as follows below:

Q: The question is:  y=(x^2+x^3)^4 , find y’

A: The given equation is y =(x^2+ x^3)^4.By the chain rule of differentiation, compute y'.

Q: find the diferential of the function when x = 2 and dx = 0.1 f(x) = 3 / (x-1) ^ 2

A: Given that f(x)=3(x-1)2 Take the derivative with respect to x, dfdx=-6(x-1)3df=-6dx(x-1)3

Q: y = 2cotxArcsec(nx) + cos² ||

A: To find dydx the following rules have to be used: a) Chain rule which states…

Q: find dy/dx for y = -(3x^2 + 5x)^5.

A: solution is given below.

Q: Calculate z=2x+y^2, Given x = 2.90 ± 0.43 , y = 7.50 ± 0.32, z=____+-_____

A: To calculate the value of z and its uncertainty, we will use the rule for propagating uncertainties…