432 Answered Questions for the topic Derivative
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.
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`
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.
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:
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.
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.
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
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)=?
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)=?
Find the derivative
Find the derivative of
g(x) integral (u+4)/(u-5) with upper bound 3x and lower bound 9x
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)=
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
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!!
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
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
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.
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...
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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
Derivative Calculus
12/30/12
Consider f(x)=x^2/x^2+a, a>0. Determine the effect on the graph of f if a is varied?
consider f(x)=x^2/x^2+a, a>0. Determine the effect on the graph of f if a is varied Does this mean that...
A) Each y value is multiplied by a
B) As a increases, the vertical tangent lines move...
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12/30/12
Given f(x)= -1/x, find all c in the interval [-3, -1/2] that satisfies the Mean Value Theorem?
Given f(x)= -1/x, find all c in the interval [-3, -1/2] that satisfies the Mean Value Theorem. How do you solve this problem and which is the right answer choice and why? a) c= -√3/2 b) + & -...
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Derivative Calculus
12/29/12
Let f"(x)=4x^3 -2x and let f(x) have critical values -1, 0, and 1.?
Let f"(x)=4x^3 -2x and let f(x) have critical values -1, 0, and 1. Determine which critical values give a relative maximum How do you figure this out and which is the right answer and why? a) -1 b)...
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Which statement is not true of the graph f(x)= (x+1)(x-3)^2?
How do you solve this problem? Which is the right answer and why?
a) f has a relative maximum at (1/3, 256/27)
b) f has a point of inflection at (3,0)
c) f has an intercept at (3,0)
d) f has a...
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