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29 Answered Questions for the topic Limits And Derivatives

Limits And Derivatives Limits Limits Of A Function

06/03/18

Limits at infinity

i am confused, we should divide the whole fractions by the greatest power right?
Limits And Derivatives Calculus Limits

03/13/18

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits?

How can I transform −λ△t= (N(t+△t)−N(t)) / (△t) into the formula dN/dt=−λN using limits? This is in relation to radioactive decay for those that are wondering, thank you for your help and time!... more
Limits And Derivatives Calculus Limits

03/01/18

Find each limit by evaluating the derivative of the function

Find each limit by evaluating the derivative of the function limh→0 ((3(2+h)2-(2+h)-10))/h
Limits And Derivatives

01/27/18

Use limits to compute the derivative

Use limits to compute the derivative    f'(5) f(x)=7x3
Limits And Derivatives

01/27/18

Use limits to compute the derivative

Use limits to compute the derivative.   f'(4) if f(x)=5x3
Limits And Derivatives

01/27/18

Use limits to compute the derivative

Use limits to find the derivative   f'(2) if f(x)=4x3
Limits And Derivatives

01/09/18

An object is thrown downward from the top of a building. After 𝑡 seconds, the object’s height (in feet above the ground) is given by the formula 𝑠(𝑡)=−16𝑡2

An object is thrown downward from the top of a building. After 𝑡 seconds, the object’s height (in feet above the ground) is given by the formula 𝑠(𝑡)=−16𝑡2−30𝑡+190. a) Determine the object’s... more
Limits And Derivatives Derivative Derivative At A Point

01/01/18

Find derivative of cosx at x=0

Using the formula, derivative of f at point a is denoted by f'(a), f'(a)=Lim(h→0) (f(a+h)-f(a)) /h
Limits And Derivatives

11/11/17

3x^3-10x^2+7x-12 How to Factor, please help asap. T_T

3x^3-10x^2+7x-12 How to factor. with x-3 on it. Please help. Thank you! You are a life saver.
Limits And Derivatives Derivatives Product Rule

11/10/17

f(x) = 3√ x · sin x use the definition of derivative to show f(x) is differentiable at x=0

this question had several parts  1)Why can't we use the product rule to compute f'(0)    My initial thought was that you cannot use the product rule t because sinx and 3√ x both equal 0 at... more
Limits And Derivatives Limits Critical Point

12/28/16

Finding critical points and limits.

Let f(x,y) = 1/(x2 - y) (a) Determine the critical points of f.(b) Does the limit of the function f at the point (0, 0) exist? Justify your answer
Limits And Derivatives

12/10/16

calculus limits

lim x → ∞  √(4x2-2x+5)  / (3x+7)
Limits And Derivatives

10/13/16

limit of sin(x)/x as x approaches infinity

I believe it equls 1, but how?  I tried L'Hopital's Rule and still can not get just a Cos(x) as x approaches infinity
Limits And Derivatives Calculus 1

09/25/16

(tanx+sqrt(3))/(x-2pi/3)

What is the limit as x approaches 2pi/3.
Limits And Derivatives Calculus Precalculus

09/19/16

How to find the limit process to find the area of the region

How to find the limit process to find the area of the region between f(x)=1/10(x^2+10x) and the x axis on the interval [1,10]
Limits And Derivatives

06/18/16

evaluate lim x ->infinite 1.2+2.3+3.4+..+n(n+1)/n3

i couldnt get the answer cause i dont know the value of sigma n(n+1)
Limits And Derivatives Calculus Differential Equations

04/22/16

PROFIT FUNCTION IN CALC

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more
Limits And Derivatives Calculus Limits

01/16/16

Suppose limh->0 (f(h)-f(0))/h =+infinity and f(0)=0. What kind of feature can best explain this?

a)such scenario is not possible b)f(x) has a vertical tangent at x=0 c)f(x) must be discontinuous at x=0 d)f(x) has a vertical assymptote at x=0, and f(0) is defined to be 0.   I tried a) and... more
Limits And Derivatives Calculus Derivatives

01/16/16

The expression f(a+h)-f(a)/h is called the

a)instantaneous rate of change of f at a b) difference quotient of f at a c)definition of f'(a) d)secant line of f at a   I tried a) and c) but they're wrong.   What is it supposed to be?

10/05/15

Use the Intermediate Value Theroem to solve

A monk leaves the monastery at 7:00 am and takes his usual path to the top of the mountain, arriving at 7:00 pm. the following morning, he starts at 7:00 am at the top and takes the same path back... more
Limits And Derivatives Limits

09/29/15

lim t?a (t^(2/3) - a^(2/3))/(t-a)

the original question is g(x)=t^(2/3) find g'(a) a≠0. I know how to find the derivative using the power rule, but I'm trying to help a Calc I student who hasn't started derivatives yet, and we're... more
Limits And Derivatives Limits Tangents And Derivatives

05/07/15

Show that when r changes by ?r; the change in the acceleration due to gravity, g; is given by ?g ˜ -2g ( ?r / r)

The acceleration due to gravity, g; is given byg = GM / r2 ; where M is the mass of the earth, r is the distance from the center of the earth,and G is the universal gravitational constant. Show... more
Limits And Derivatives Limits Continuity And Limits

05/06/15

show the derivatives of the quotient

The de?finitions of derivative of two functions f and g are given by:f' (x) = lim     f(x + Δx) - f (x) / Δx , g'(x) = lim   g(x + Δx) - g(x) / Δx           x->0                              ... more
Limits And Derivatives Derivative Tangents And Derivatives

04/19/15

Find the derivative of the following functions: d^2 / dx2 (x sin x)

Find the derivative of the following functions: d^2 / dx2 (x sin x)
Limits And Derivatives Derivative Tangents And Derivatives

04/19/15

Use linear approximation and differential to approximate: sin 31`

Use linear approximation and differential to approximate: sin 31`
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