356 Answered Questions for the topic Derivatives
02/19/15
Derivatives of ex and ln x
An example in my textbook goes as follows:
f(x)=ln e3x = 3x
f'(x) = 3
I understand that the derivative of 3x is 3, that the derivative of ex is ex, ,and that the derivative of ln x is 1...
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Derivatives
02/05/15
Find the following derivatives using the definition of the derivative
(a) (x+1)/(x-1)
(b) √2x+1
(c) (1)/(x2)
Derivatives Calculus 1
02/03/15
Find Derivative using definition of derivative
a.) (x+1)/(x-1)
b.) √(2x+1)
c.) 1/x^2
01/31/15
Related Rates
A lighthouse is located on a small island 3km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute.
How fast is the beam of light moving along...
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01/26/15
Derivative
Find the derivative of f(x) = x2e–x
I've managed some of the question but am having trouble finishing it. Can someone please explain?
01/25/15
Derivative
Find the derivative of f(x)=xsquared(2x-3)to power of 4
sorry i couldn't write the powers out on my phone. Can someone please explain the question?
Derivatives Word Problem Help
12/28/14
A waterskier skis over the ramp (with a base of 5 m and a height of 1 m) at a speed of 12 m/s. How fast is she rising as she leaves the ramp?
I am having trouble with this question as I do not understand how I would apply derivatives to this question. What is the process/steps for solving this word problem? Thank you very much!
Derivatives
12/25/14
integration
2. Relate the process of integration to the area under a curve and state the function of the constant of integration. With and illustration, determine the integral of a simple algebraic expression
Derivatives
12/25/14
differentiation
1. Explain why the first order differential equates to zero for maximum and minimum value of a variable. With and illustration determine the maximum and minimum values of two related variables
12/22/14
Differential Calculus
I asked a question earlier about open and closed intervals, so why did my teacher say this was wrong?
Determine any values of c in the interval [0,2pi] for which f'(x) = 0.
f(x) = cos...
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12/14/14
How to find the area under multiple curves
I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows:
y=x
y=7
y=x2/28
The domain is [0,14]
I know...
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12/14/14
How to find total area of a region
We have a parabola whose formula is y=5sin^2x and is bounded at the top by the line y=5. It is shaded under the y=5 line between x=pi/2 and x=3pi/2. How do I find the area of this shaded...
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11/29/14
where does f(x)=sinx+cosx have horizontal tangent lines?
How can you find out how many tangent lines this function has and what they are?
Derivatives
11/24/14
find derivative
#14. y=ln(6x+7)^1/5
#26. y=6ln(x^4-2)
#30. 7e^4√x+8
#32.f(x)= 8+9x ln x
#34.y=ln √x^2-5
Derivatives
11/24/14
find the derivative
Find the derivative.
______
#3. y=ln √x^2+5
#5. y=ln(5x^3-6x)-9x
#7. y=4e^6x^2-4
#8. y=ln(3x+5)
#10.y=1-9e^-x^3
#18. f(x)=x^-7-5e^x
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!!
Derivatives
11/22/14
What would be a quartic equation whose first and second derivatives factor
Non zeros
Derivatives
11/17/14
a square sheet of cardbord with 18 inch sides will br made into a box by cutting equal sized aquares from each corner & folding the 4 sides up.
What are the dimentions of the box with largest volume
Derivatives
11/17/14
which point on the graph of y= square root of x is closest to the point (7,0)
PLease help om stuck on this
11/16/14
Having trouble calculating concave up and concave down?
Here is the question I am having trouble withL
Calculate the second derivative of f. Find where f is concave up, concave down, and has inflection points. f(x)= (3x^2) / (x^2 + 49)?*I figured...
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Derivatives
11/13/14
Help w/ dy/dt
Find y(t) using the following information.dy/dt= t^5 + 6e^t ; y(0) = 12
Derivatives Calculus
11/11/14
equation that relates the surface area S and height h of a cylinder with a fixed radius of 2 units.use implicit differentiation
Write down an equation that relates the surface area S and height h of a cylinder with a fixed radius of 2 units. Then use implicit differentiation to obtain a relationship between the rates at...
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Use derivatives to find the x-values of any critical points and inflection points of the function f(x)=e^(-x^2)
Use derivatives to find the x-values of any critical points and inflection points of the function f(x)=e^(-x^2)
Find the equation of the tangent line to the follow curve at the indicated points. y^2=(x^2/(xy-4)) at (4,2)
Find the equation of the tangent line to the follow curve at the indicated points.
y^2=(x^2/(xy-4)) at (4,2)
Back of my textbook states that the answer is y=2
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