356 Answered Questions for the topic Derivatives

Derivatives

03/27/16

find derivative---
f(x)=lnx/x2
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03/08/16

Finding numeric values of variables A & B from an equation
An amusement park designs a roller-coaster ride based on the function f(t)=at^2-bt+20, where t is the time of the ride in seconds. The designer wants to achieve the speed f'(1)=10 mph, and... more
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Derivatives

02/27/16

The Derivative
Compute The Derivative of the given function and find the equation of the tangent line that is tangent to it's graph for the specified value x=c14.) f (x) = 3; c= -416.) f(x) = 3x; c=1   find the... more
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Derivatives

02/27/16

derivative of y=x^3sinxcosx
im confused because these are three products dont know how to use chain rule or product rule with it pls show step by step procedure thanks
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Derivatives

02/27/16

Differentiate the Given function. Simplify the Answer and show solution:
18.) f(x) = 1/4 x^8 - 1/2 x^6 - x +2 and 20.) f(u) = 0.07u^4 - 1.21u^3 +3u - 5.2   210) f(x) = (x+1/x)^2Thank you your a blessing God bless.
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Derivatives Calculus Related Rates

02/25/16

Related Rates Question
Water is leaking out of an inverted conical tank at a rate of 139000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 150... more
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Derivatives Calculus 1

02/23/16

I'm not allowed to use the Chain rule in my midterm, what else can I do to find the derivative of f(g(x)) functions?
I am quite puzzled because I was just told by my professor that we won't be allowed to use the Chain rule in the exam, but in the practise exam they gave us functions like y=e^3x+x to... more
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Derivatives Calculus 1

02/21/16

F'(x) = t'^4/4-t^3+t^2
pls help me find the derivative thanksss
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Derivatives Calculus 1

02/14/16

Find the derivative of r = 2(1/sqrt theta + sqrt of theta)
i got -1/theta(sq rt of theta) + 2 sq rt of theta howeverrrrr back of the book says 1/theta sq rtof theta + 1/2 sq rt of theta. Pls help and show solution please!
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Derivatives Calculus 1

02/14/16

Find the 1st and second derivative of y=x^3/3+x^2/2+x/4
My answer is x^2/9+x/4however back of the book says x^2+x
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Derivatives

01/25/16

Approximately how many gallons will be sold per day if the price is set at $3.50 per gallon?
When the owner of a gas station sets the price of 1 gallon of unleaded gasoline at $3, he can sell approximately 20,000 gallons per day. When he sets the price at $6 per gallon he can sell... more
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Derivatives Calculus Limits

01/16/16

Let f(x)= x^1/2. Find f'(9) using the definition f'(a)=limex->a f(x)-f(a)/x-a
I am stuck can you please help?   So far I have limx->9√x-√9                               x  -9                               =x(x^-1/2)-(3/x)                              ... more
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01/16/16

Using chain rule and product/quotient rule, find derivative of sin(3x^2)/x when x=(squareroot of pi)
sin(3x^2)x^-1   this is how far I got.  when do I sub in √pi ? what do I do next?
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01/16/16

The expression f(a+h)-f(a)/h is called the
a)instantaneous rate of change of f at a b) difference quotient of f at a c)definition of f'(a) d)secant line of f at a   I tried a) and c) but they're wrong.   What is it supposed to be?
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11/15/15

Tangent Line to an Exponential Function
Let f(x) = 10x+9-19ex. Find the equation of the tangent line to the graph of f(x) at the point (0,-10).
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11/15/15

Calculus Natural Logarithms
Find f'(x) given f(x) = ln(√(2x+9)(9x-3)). Note*both functions are under the square root. I believe the problem needs to be set up like this = ln(2x+9)1/2(9x-3)1/2 and then = ln(2x+9)1/2 +... more
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Derivatives

11/15/15

derivative of s(t)=2te^-t
how can I find the derivative if I have power of -t
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Derivatives Calculus

11/06/15

derviatives
If f(x)=x^xln(2x−7), then f′(x)=x^xln(2x−7)g(x), where g(x) equals what?
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11/03/15

proof for derivative
(f1+f2+f3+...)'=f1'+f2'+f3'+...
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Derivatives Word Problem

11/01/15

Please help me!
A circular above-ground swimming pool has a 10-foot radius and may be filled to a maximum depth of 3 feet. If the depth of the water in the pool is rising at a rate of 0.4 inch per minute, at what... more
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Derivatives

10/29/15

calculus question
find the derivatives of the given functions. show all work and simplify the answer if possible. f(x) = (sinx-xcosx)/cosx+xsinx
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Derivatives

10/26/15

How to solve the derivative of (1/(x+3))+2x using limit as h approaches 0 definition?
lim as h->0 of   (1/(x+3))+2x    derivative definition help?
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10/22/15

Derivative of the inverse of f(x) = a polynomial
  Find the derivative of f-1(x) at x=6 if f(x) is defined by f(x) = x3 + x.   I found the formula g'(x) = 1 / f'(g(x)), where g(x) = f-1(x). Please explain in detail, because my teacher for AP... more
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10/18/15

Calculus help for related helps please!!! :)
A lighthouse is stationed at a point P some distance away from the nearest point Q on a straight shoreline. It's light is making 3 revolutions per minute. It is found that the beam of light is... more
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Derivatives

10/14/15

Find the derivative
Find the derivative of r= 1    -  8                                   4s3    5s4
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