21 Answered Questions for the topic Derivative proof

07/11/18

#### find the function that would produce a derivative of y = x.

I don't know how where to start.

#### 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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#### how do you prove that the derivative of x^n is nx^n-1

how do you prove that the derivative of x^n is nx^n-1

05/20/17

#### Derivative/Calculus question

Calculus Question - Please helpAn object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at an...
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04/24/17

#### Help proving differential equation

I', really stuck on this one HW question:
I have to show how dC/dt = (D * (d^2C/dx^2)) + P at steady state (so when cD/dt =0)equals: (d^2C/dz^2) + (Pa^2/D C(a)) = 0 using C= C(x)/C(a) and z=x/a...
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#### Prove (x^5)+(e^x)=0 has at most 1 real root

I know to like assume that (x^5)+(e^x)=0 has two distinct roots and then find the contradiction. But am stuck.

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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Derivative Proof

09/18/15

#### if y= cosx-e^-x,find dy/dx also show that dy/dx+y=0, when x=pi/4

derivative

Derivative Proof

09/18/15

#### if y=sinx+tanx+10 find dy/dx and show that when x=pi radian , y+dy/dx=10

if y=sinx+tanx+10 find dy/dx and show that when x=pi radian , y+dy/dx=10

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 : 14^(1/4)

Use linear approximation and differential toto approximate : 14^(1/4)

04/19/15

#### Use linear approximation and differential to approximate: sin 31`

Use linear approximation and differential to approximate: sin 31`

04/19/15

#### A particle moves in a straight line from its initial position so that after t seconds, it distance is given by s = t^2 + t feet from its initial position.

(a) Find the average velocity of the particle over the interval [1; 3] seconds.(b) Find the instantaneous velocity of the particle at t = 1 second.

Derivative Proof

02/09/15

#### Use the definition of derivative

Let g(x) = |cos x|.
(a) Graph g(x) and g'(x) on one graph for −2π ≤ x ≤ 2π
(b) find g'(π/2)
how would you show that it doesn't exist.
(c) g'(0)

10/23/14

#### derivative of a function

find the derivative of f(x) = √x+1 at x = 0
the derivative is 1/2x2, but i want to know the long way f(x+h)/h-f(x)/h method, thanks in advance

10/15/14

#### proving f'(x)/f(x)= 1/(x-a)

I couldn't understand and sole this question. please help
Define f(x):= (x-a1)(x-a2)(x-a3)... (x-at), where an are constants, 1≤n≤t , where t is some finite natural number. Show that...
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Derivative Proof Derivatives

03/18/14

#### Derivative of a Polynomial Function

Show that there is no polynomial function that has a derivative of x^-1.

Derivative Proof

10/31/13

#### prove derivative of x^n

I need help proving this derivative using the difference quotient.
prove derivative of x^n

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