Calculus

3 years ago

Find derivative by using definition of the derivative question 2

2. V(t) = t + 1 / t + 4

1 2

Orlando0 347 15 Replies

3 years ago

Find the derivative using the product rule

1. a) y= (1 - 2x^3 + x^2)(1/x^3 + 1)
->> What I did so far, but got stuck as I had to distribute the terms involving negative exponents:
1) y= (1 - 2x^3 + x^2)(1/x^3 + 1)

2) = (1 - 2x^3 + x^2) ] u (x^-3 + 1) ] v

slimes 252 12 Replies

3 years ago

Finding the derivative using the power rule - Solutions

Hi I want to know if these questions are the correct answer? Thanks.
a) y = 5x^0
= 0x^-1
b) y = 4/5x^5 - 3x
= 4x^4 - 3x

1 2

slimes 319 20 Replies

3 years ago

Find the derivative using the power rule Q2

h) p(a)= a^5/12 - 2√a

slimes 192 4 Replies

3 years ago

Find the derivative using the power rule

a) 6x^2
b) y = 3^√x

slimes 192 10 Replies

3 years ago

Find derivative by using definition of the derivative question 3

3. z(t)=√3t - 4 please help

Orlando0 180 7 Replies

3 years ago

Differentiation of Inverse Trigonometric Function

Using inverse trigonometric function please answer 3,4,5 thank you, badly need iy

KC Dela Cruz 173 3 Replies

3 years ago

Find derivative by using definition of the derivative

5. f(x) = 6

Orlando0 119 2 Replies

3 years ago

Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z

I need just the last step to this question which is putting all of the factored terms together and canceling everything out.
It took a while to factor each term so here are the answers for each of them so that it's a lot easier.

slimes 946 12 Replies

3 years ago

Evaluate the limit question 3

lim x-> 4 x - 4 / √x - 2
I dont get why its supposed to be positive 4. I did √4 + 2 / -1

Orlando0 110 5 Replies

3 years ago

Evaluate the Limit Question 2

2. lim x -> 25 5 - √x / x - 25
I got 1/10 for my answer but its supposed to be - and I don't understand why. Can someone explain please, thx.

Orlando0 116 2 Replies

3 years ago

Limit question

I sketched my question
lim x -> 1 = f(x) =?

lim x -> -1 = f(x) =?

Orlando0 172 8 Replies

3 years ago

Evaluate the limit

lim x -> 3
1/3 - 1/x / x - 3

Orlando0 167 5 Replies

3 years ago

Evaluate then graph the following limits

Limits from tables and graphs

Evaluate then graph the following limits.

Sweet16 133 1 Reply

3 years ago

Find the derivative of y = 2t^4 - 10t^2 + 13t

Here's what I did.
lim
h->0 f(t+h) - f(t)/h
lim 2(t+h)^4 - 10(t + h)^2 + 13t - (2t^4 - 10t + 13t)/h
h->0
lim t^4 + 4t^3h + 6t^2h^2 + 4th^3 + h^4 - 10t^2 - 20th - 10h^2 + 13t - 2t^4 + 10t - 13t/h[/

slimes 240 5 Replies

3 years ago

Find the derivative of f(x) = 6x^3 - 9x + 4

What did I do wrong here??
h->0 f(x + h) - f(x)/h
h->0 6(x + h)^3 - 9 (x + h) + 4 - (6x^3 - 9x + 4)
h-> 6x^3 + 18x^2h + 18h^2x + 6h^2 - 9x - 9h + 4 - 6x^3 + 9x - 4/h
h->0 18x^2h + 18h^2x + 6h^2/h = 6h(3hx + 3x^2 + h)/h

slimes 292 11 Replies

3 years ago

Derivative Questions - Solutions

Can someone confirm if these answers are correct? Thanks
a) y = 8x
lim h->0 f(x + h) - f(x)/h
lim h->0 8(x + h) - 8x/h <- Distribute the 8(x +h)
lim h->0 8x + 8h - 8x/h <- Cancel out 8x and -8x
lim h->

slimes 99 1 Reply

3 years ago

Derivative Questions

Find the derivative of the function f(x)=x^2, using the the first principles definition.

slimes 157 6 Replies

3 years ago

A container in the shape of a right circular cylinder with no top has surface area square feet.

What height and base radius will maximize the volume of the cylinder?

Acer Matthew Asistio 793 5 Replies

3 years ago

Evaluate: With solution.

Acer Matthew Asistio 144 2 Replies

Acer Matthew Asistio

3 years ago

Evaluate the following limits, if they exist - Pt 2

a) lim h(z) b) lim h(z)
z -> 7 z -> -4

slimes 150 3 Replies

3 years ago

Evaluate the following limits, if they exist.

a) lim f(x) b) lim f(x)
x -> -6 x -> 1
Please explain, thanks.

slimes 125 4 Replies

3 years ago

Computing Limits Problems

Hello I need some assistance on the limit problems, I was confused with the ones that involved square root functions. Thanks to anyone who could possibly help me with these.
6. lim lim (6+h)^2-36/h
h -> 0

7. lim&

1 2

slimes 413 17 Replies

3 years ago

Show solution:

A container in the shape of a right circular cylinder with no top has surface area 3π square feet. What height h and base radius r will maximize the volume of the cylinder?

Acer Matthew Asistio 95 1 Reply

3 years ago

Computing Limit Problems - Pt 2

slimes 95 2 Replies

3 years ago

From the following function, find the value of a, so that the AROC

of the func f(x)=3x^2+ax-4 over interval -1 ≤x≤2 is 8.

marinejas 124 2 Replies

marinejas

3 years ago

As a result of a hole in the graph, which of the following functions does not have an average or an

or IROC?
a)x-3/x+4 b)x^2-3x+2/x+2 c)x^2-9/x+1 d)x^2-5x-6/x+1

marinejas 126 3 Replies

3 years ago

IROC on a Graph Questions

1. To which point would you be unable to determine the instantaneous ROF on the graph of f(x)=( x-8)(x-2)/(x-4)? I stated that x= -8, and x=-2 would be the answer, what do you think?
2. What value gives an IROC of 0 to f(x)=3cos(t-pi)+2?
I

marinejas 98 4 Replies

marinejas

3 years ago

IROF of slope and from a cos Graph

1. For slope, which type of line represents the IROF of a function at a point?
2. What x values is the IROC for the following graph, y = cosx shown to be equal to 0?

marinejas 74 5 Replies

3 years ago

How to find the the instantaneous rate of change of a graph.

If you were given a max or min value (x,y), how would you find the the instantaneous rate of change for that point indicated?

marinejas 124 5 Replies