185 Answered Questions for the topic Differentiation

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
Differentiation Calculus Integrals Integration

04/22/16

Indefinite Integral

Can someone help me solve for this indefinite integral?:   (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3)   Thank you!
Differentiation Calculus Algebra Factoring

04/22/16

Simplifying a function to get a tangent line

In the middle of solving this implicit function/using implicit differentation to find its tangent line, this is what I have so far:   Original function: y^3+x^3-2xy=8 (find tangent line at... more
Differentiation Integration

04/09/16

Show sin(x) is less than or equal to x

Show that sin(x)≤x for all x≥0 (hint look at the derivative of x-sin(x))
Differentiation

03/25/16

d/dx(1+x^4+x^8/1+x^2+x^4)=ax^3+bx THEN WHAT IS VALUE OF a and b?

Basic differentiation   
Differentiation

03/24/16

what is differentiation of |x|^|sinx| at x=-pi/4

Basic differentiation   
Differentiation

03/12/16

Differentiate Ln ( SQRT(x-2))/X²

Differentiate  Ln  od  square root of x-2  divided  by  x  squared.   Thanks  You Regards Sunny 
Differentiation

03/04/16

f is a differentiable function for all x. Which of the following statements must be true?

f is a differentiable function for all x. Which of the following statements must be true?
Differentiation

02/08/16

Higher Derivatives

Which point on the curve y= x^2 is nearest do the point (3,0)

01/27/16

Differentiation inverse trigonometric functions

Find the derivative of   tan-1(1/t)   I have seen other answers online but they are really hard to follow. I thought you would need to use the product rule. Not to sure though. I know the... more

Differentiation question- how do I find the c

a particle travels along a straight line with its acceleration at the time t secs equal to (3t+2)m/s^2. The particle has an initial positive velocity and travels 30 m in the fourth second. Find the... more
Differentiation

01/07/16

Differentiation problem

Prove that  Y=H^(7x2 +3x +2) Is the solution of the differentiation equation (14x+3) Y' - Y'' = 14Y
Differentiation

01/07/16

Differentiate the following: g(x) = cos^4(2x), h(x) = 4e^sec(x), y = 2x^4lnx.

Differentiation
Differentiation Calculus

12/02/15

if f(x)= log(base2)x find f ' (1)

using implicit differentiation
Differentiation Calculus

12/02/15

let y=x^2, x=3 and deltax=1. find the value of the corresponding change delta y.

i am in calculus and I am not sure about this question, please help

11/15/15

Differentiation Calculus Exponentials

Differentiate y=(x2+1)e((-x^10)+3x)

11/14/15

Calculus Differentiation

Differentiate y=(x2+1)e((-x^10)+3x)
Differentiation Calculus Logarithms

11/14/15

Calculus Logarithms - Needs redone. Answered incorrectly

differentiate y = (x2+1)e((-x^10)+3x)
Differentiation Calculus

10/22/15

if h(x)=cscx, find all values of x on (0,360) where f'(x) = h'(x)

if h(x)=cscx, find all values of x on (0,360) where f'(x) = h'(x)

Derivative of the inverse of f(x) = a polynomial

  Find the derivative of f-1(x) at x=6 if f(x) is defined by f(x) = x3 + x.   I found the formula g'(x) = 1 / f'(g(x)), where g(x) = f-1(x). Please explain in detail, because my teacher for AP... more

10/07/15

A trench is being dug by a team of labourers who removes V cubic metres of soil in t minutes, where V=10*t-(t^2)/20.

V=10*t-(t2)/20   a) State the logical domain of the function, i.e. the values of t during which soil is being removed.b) At what rate is the soil is being removed at the end of 40 minutes ?c) Are... more
Differentiation Calculus Ap Calculus

08/11/15

continuous and differentiable function

Let f be a continous function on interval [-1, 9] and differentiable on (-1, 9).  If f(-1) = 2 and f(9) = 7, then which of the following are necessarily true?   i.   f'(c)= (1/2) for some c... more
Differentiation

08/05/15

find dy/dx of cos inverse x in terms of Y alone

question of class 12 in chapter 5 ex:5.7 (part -1)  
Differentiation

07/21/15

differentiate implicitly

to find dy/dx if √x+8=2xy^2
Differentiation

07/21/15

for y=4x^4+3x^2,

for y=4x^4+3x^2, find d^2y/dx^2

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