436 Answered Questions for the topic Derivative

Derivative Related Rates

03/18/18

related rates - Find the rate at which the diameter is increasing when the diameter is 20cm?
A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm?
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03/17/18

Derivatives - find the rate at which the diameter is increasing when the diameter is 20cm
A spherical balloon is being inflated so that its volume is increasing at the rate of 10cm3/sec. Find the rate at which the diameter is increasing when the diameter is 20cm.
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Derivative Math Calculus

02/07/18

What are the coordinates of the relative extrema?
The derivative of function f is given by f'(x) = ((cos^2x)/x)-0.2 Note that this is the equation for the derivative of f, not for the function f itself. Find the x-coordinates of relative extrema... more
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Derivative

01/08/18

give an example of a continuous function which is not differentiable at x=2
I need an other answer other than |x-2| please.
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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
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Derivative

12/17/17

Derivative Questions
The total energy in megawatt-hour used by a town is given by   E(t)=400t+(2400/pi)sin(pi.t/12)   where t>=0 is measured in hours,with t=0 corresponding o noon.At what time of the day is the... more
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Derivative

12/06/17

what is f'(8) of f(x)=3450/(2.5+0.60^x)
So i did this on geogebra and got 2.029, but apparently its not right..   What am i doing wrong?   this is what i got on geogebra: (((-1537734375000)) / 168092489783 * log(3 / 5))   Please... more
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Derivative Derivatives

11/07/17

find dy/dx where y=2^(x/lnx)
find dy/dx where y=2^(x/lnx)
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12/07/16

Derivative of y= (sec5x)^((x^2)-x+2)
Just need the first derivative of this function, struggling with there to begin
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Derivative Calculus

11/10/16

If f(2)=-3, f'(2)=3/4, and g(x)=f^-1(x), what is the equation of the tangent line to g(x) at x=-3?
A) y+2=4/3(x-3) B) y-2=4/3(x+3) C) y-2=-3/4(x+3) D) y-2=-4/3(x+3) E) y+2=-3/4(x-3)
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11/09/16

Finding the derivative
1) Find dy/dx for e^(x+y)=y   2) y=csc(5x^4)    
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10/19/16

I believe this is e rule but i'm not sure.. help?
Find y′ if x^(3y) = y^(2x).   1. y′=  3y^2(ln x − 1)             3y ln x + 2x   2. y′ =  y^2(ln x − 1)             3y ln x − 2x   3. y′ =  y(2x ln y − 3y)            x(3y ln x − 2x)   4.... more
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Derivative Math Derivatives

09/23/16

derivative at a number
Find the derivative of f(x) = sqrt(36-x^2) / 9x when x=2
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08/09/16

what are the first and second derivatives of the equation: 3x^4y^3-4x^3+7y^2-13
Pretty straight forward, but i am having trouble. You help would be much appreciated
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Derivative

07/27/16

If y= 1+cosx/sinx ,show that dy/dx=1/cosx-1
If y= 1+cosx/sinx , show that dy/dx=1/cosx-1
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Derivative Calculus

06/20/16

sin^2(cot^-1( (1+x)^0.5/ (1-x)^0.5))
Please help me differentiates this. 
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Derivative Calculus

06/19/16

Let y= sqrt [1-sin 2x / 1+sin 2x] , prove that dy/dx + sec^2 (pi/4-x)=0
This question is from isc class 12 book  
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Derivative Calculus Maximum Minimum

04/01/16

Finding the Min & Max of a function
Question: "for the following functions, determine the locations of relative extrema, either minimum or maximum, and find their values"   for k(x)=(ln3x)/(2x^2)   The process I use is to first... more
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Derivative Calculus Related Rates

03/27/16

Related rates problem
The rate at which ice is melting in a pond is given by dV/dt= √(1+2t), where V is the volume of ice in cubic feet, and t is the time in minutes. What amount of ice has melted in the first 5... more
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Derivative

03/14/16

Derivative
dx,d2fdx2, andd3fdx3for the functionf(x)=x2−5x+6 And f(x)=7x−2x8  
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Derivative Calculus

02/27/16

A firm estimates that the total revenue, R, received from the sale of q goods is given by ln(1+1100q^2)?
A firm estimates that the total revenue, R, received from the sale of q goods is given by ln(1+1100q^2). Calculate the marginal revenue when q=20. I got R'=1100/1+1100q^2 And a marginal revenue of... more
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Derivative Calculus

02/27/16

Find the exact expression for V'(t).
The value of a certain automobile purchased in 1997 can be approximated by the function V(t) equals 25 (0.88)^t , where t is the time, in years, from the date of purchase, and V (t) is the value,... more
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Derivative Calculus

02/27/16

Find the derivative of the function.
Find the derivative of the function f(x)=(x+1)^104
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Derivative Calculus

02/27/16

Find the equation of the tangent line to y=e^-4t at t=0
Find the equation of the tangent line to y=e^-4t at t=0
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12/03/15

Differentiation
Y=(sin5x)^2x  , find dy/dx
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