436 Answered Questions for the topic Derivative

Derivative Calculus Natural Logs

11/04/15

Calculus + Natural Log + Derivative
Let f(x)= -5ln(6x)   I can't figure out how to find the fourth derivative.   f'(x)= -5/x   f'(4)= ___  
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08/12/15

chain rule is also know as
The Chain Rule for antiderivatives is also known as the ___________________ rule.   -derivative -substitution -product -integral
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08/12/15

second derivatives
Using the second order derivative equation: ( (d2y)/(dx2) )-9y=o   Which of the following would be true?   y= e3x   y=e-3x   y=2e-3x   y=xe3x  
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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                              ... more
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Derivative

04/28/15

derivative of the following with respect to x1: x1 + x2 +x1x2 + x1 + x3 + x1x3 - (x1)^2
Mostly having trouble with the x1x2 and x1x3 derivatives for some reason, so some explanation there would be helpful.
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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)
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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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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.
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04/19/15

let fx = 2 / (3-x)
(a)Find the slope of the tangent to the graph of f at a general point x0 using the definitionof limits.(b) Use the result in part (a) to find the slope of the tangent line at x0 = 1:
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03/04/15

Find the interval where the function f(x)=x^(2/3) is increasing and the interval where it is decreasing.
Also, find the maximum or minimum value of f(x). Sketch the graph and label the critical point/s.
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02/22/15

Find the following derivative: d/dx ((xe^x)/sin(2x))
i dont know how to deal with e and sine in the same equation.
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Derivative Integral

01/29/15

Find the derivative of
Find the derivative of  g'(x)=∫(u+4/u-5)du with upper bound 3x and lower bound 9x 
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01/26/15

Use the fundamental theorem of calculus to find the derivative
Use the Fundamental Theorem of Calculus to find the derivative of   f(x)=∫((1/3)t2-1)5dt with upper bound x2 and lower bound 3 f'(x)=?
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Derivative Function Integral

01/26/15

Find the derivative of the following integral
find the derivative of    g(x)= ∫(u+4/u-5)du with upper bound 3x and lower bound 9x g'(x)=?
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Derivative Calculus Integral

01/23/15

Find the derivative
Find the derivative of  g(x) integral (u+4)/(u-5) with upper bound 3x and lower bound 9x 
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01/23/15

Use the fundamental theory of calculus to find the derivative
Use the fundamental theory of calculus to find the derivative of  f(x)= integral ((1/3)t2-1)5 dt with upper bound x2 and lower bound 3  f'(x)=
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Derivative Relative Maxima

11/24/14

find the relative maxima
#33. find the relative maxima y=5ln x-3x   #35 find the equation of the tangent line to f(x)=3x+e^x at the point (0,1)   #15. find the antiderivative of ∫9e^x/e^x+4   #40. find first... more
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11/23/14

double derivative y^3-xy=5 PLEASE HELP!!!
i just cant get why i got this wrong and i cant find the answer online, please tell me the answer and how to do this step by step, thank you so much!!
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10/26/14

find the derivative of....
y=(x)/(x2-4)1/2   i get y'=-4/(x2-4)3/2
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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
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Derivative

09/21/14

find the rate at which the area is increasing when the radius is 7 miles
An offshore oil well is leaking oil and creating a circular oil slick. If the radius of the slick is growing at a rate of 4 miles/hour
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08/25/14

How do I find a second derivative?
What is the second derivative for the function y=e^(6-x^2) ? Please show workings.
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04/23/14

Please help set up a derivative problem for business calc.
Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this... more
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Derivative

12/02/13

derivative
x^2+xy^2+y^3=2cot y
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Derivative Secant Line

09/25/13

Derivative problem, f(x)=x^2+2x, to find the equation of the secant line.
Find the equation of the secant line through the points where x has the given values, x=3 and x=5
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