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.

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)

Use linear approximation and differential to approximate: sin 31`

Use linear approximation and differential to approximate: sin 31`

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.

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.

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 

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)=?
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)=?
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 

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!!

10/26/14

find the derivative of....

y=(x)/(x2-4)1/2   i get y'=-4/(x2-4)3/2

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

How do I find a second derivative?

What is the second derivative for the function y=e^(6-x^2) ? Please show workings.

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
Derivative

12/02/13

derivative

x^2+xy^2+y^3=2cot y
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... more

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) + & -... more
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)... more
Derivative Calculus Graph Maximum

12/29/12

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... more

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