29 Answered Questions for the topic Limits And Derivatives
06/03/18
Limits at infinity
i am confused, we should divide the whole fractions by the greatest power right?
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!...
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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...
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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.
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...
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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
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.
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)
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...
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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...
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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...
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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...
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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...
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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 ...
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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)
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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