Calculus One | Unit 3 | 181.2

Differentials

100

Compute  dy when  y(z)=16e^(2z)+cos(z) 

dy=(32e^(2z)-sin(z))dz

200

Compute dy for y=x⁵ - 2x³+7x as x changes from 6 to 5.9

d(y) = -627.1

300

400

Compute  dy and triangley if  y=cos(x^2+1)(e^x) as x changes from x=2 to x=2.03

dy=0.9131 and triangley=0.92865

500

Compute dy and triangley  when  y=(x^2)/(6e^(x^2)+7x) and x goes from 1 to 1.1.

dy=0.001288

triangle y = 0.002355

Implicit Differentiation

100

Differentiate this function: 

dy/dx=-x/y

200

Differentiate this function:

dy/dx=(6x^5-8x)/(6y^2-1)

300

differentiate this function!

dy/dx=(1-e^x)/-cos(y)

400

Differentiate 

dy/dx=cos(x)/(4e^(4y)+sin(y)

500

Find the derivative of

dy/dx=(e^(y^2)-2xsin(x^2+2y))/(-2xye^(y^2)+2sin(x^2+2y)

Linearization

100

Given the function below, find h(2.1) using h=2

h(t) = t^4 - 6t^3 + 3t -7

= -36.7

200

Approximate the value

sqrt(8.9)

 using linearization given that 

y(x)=sqrt(x)

 179/60 

300

Approximate ln(1.1) given that 

y(x)=ln(x)

1/10

400

Find the linear approximation of the function below!

L(z)=ln(9)+(4/9)(z-2)

500

Approximate the function below when x=5.1

=18.3

Funzies

100

When exactly is Joey graduating? need the time too... dw I'm only jk, haha

Soon enough (May? of 2025)

200

You guys know Taral's not from around here... How far away do you think her home town is? Wild guesses only!

8,768 mi (From OH to SEZ)

300

Unc could be of European or even Asian descent, but if he is of European descent, from which country?

Italie! (Ik it's Italy, just thought Italie was cooler)

400

What is something Kyler likes to eat?

Barrio, he's got Unc liking it too

500

What are our surnames?  

Matson 

Bhasadia

Tirabassi