356 Answered Questions for the topic Derivatives
Please Help - Calculus Question
Give an example of, and explain why the example is sufficient for the following:
Functions f and g with f’(x) = g’(x), ∀x, but f(x) ≠ g(x)
A function f(x) such that f’’(x) = –f(x)
Function with a...
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Derivatives Calculus
04/13/20
Let f ′(x) = 3x^2+2 . Given that f(2) = 5 find f(x)
If I could get some help that would just be amazing hopefully thank you in advance!
02/16/20
Convert Continuous Compounding to Semiannual
An interest rate of 3.75% per year, continuously compounded, is equivalent to what annual interest rate with semiannual compounding?
Derivatives
02/14/20
The equation of the tangent line to the curve y=x+x−−√ at the point (49,56) is
11/04/19
Please help me to solve this equation and it's all about Derivatives (Basic Calculus)
This is a performance task and I don't know what to do here 😭y=sin^3(x^3+log2 X)
10/26/19
Find the point where the graphs of f(x) and g(x) are tangent to each other
Find the point where the graphs of f(x)=x^3-2x and g(x)=0.5x^2-1.5 are tangent to each other (have a common tangent line)a) use knowledge of the derivative to solve this problem. Write out a...
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09/26/19
Calculate the first five derivatives
Calculate the first five derivatives of f(x)=cosx. Then determine f^(8)(x) and f^(37)(x)
Derivatives Calculus
05/20/19
derivative hot dog problem
mr. hot and mrs. dog are taking over a hot dog stand. the current owner now charges $2 per hot dog and gets appx 56 customers during the lunch hour. they want to figure out how to maximize their...
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03/23/19
Why do we require radians in calculus?
I think this is just something I've grown used to but can't remember any proof.
When differentiating and integrating with trigonometric functions, we require angles to be taken in radians. Why...
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Defining the derivative without limits?
These days, the standard way to present differential calculus is by introducing the Cauchy-Weierstrass definition of the limit. One then defines the derivative as a limit, proves results like the...
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Defining the derivative without limits?
These days, the standard way to present differential calculus is by introducing the Cauchy-Weierstrass definition of the limit. One then defines the derivative as a limit, proves results like the...
more
03/14/19
Do "other" trigonometric functions than Tan Sin Cos and their derivatives exist?
I remember my physics teacher mentioning that other trigonometric functions exist apart from the Sin Cos and Tan, he mentioned a few and they did not sound familiar, nothing like Sec Csc and Cot. I...
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Derivatives Calculus
03/14/19
Is the derivative function typically "worse" than the original function?
For instance, the absolute value function is defined and continuous on the whole real line, but its derivative behaves like a step function with a jump-discontinuity.
For some nice functions,...
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03/05/19
2e^2x-e^x=0 solve the equation
I've got a test tomorrow and the only question left I can't wrap my head around is this one, all help is greatly appreciated. (This is a derived function set to zero by the way, looking for maximum...
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Derivatives Pre Calculus
01/30/19
Create a function that has a derivative of f(x) = 2x + 1 at a given input value of your choice.
I need this ASAP!!! Please show work so I can learn the material
Derivatives Calculus
01/16/19
Derivatives Problems
Suppose that f(x)=Msinx+NcosX for some constants M and N. If (pi/4)=3 and f'(pi/4)=1, find an equation for the tangent line to y=f(x) at the point where x=3pi/4
Derivatives Absolute Extrema
11/10/18
Math Analysis Problem
A candy box is made from a piece of cardboard that measures 17 by 10 inches. Squares of equal size will be cut out of each corner. The sides will then be folded up to form a rectangular box. What...
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Derivatives
10/23/18
Hard Question HELPP
Construct a function that has the same slope at x=1 and x=2. Then find two points where y=x*4-2x*2 has the same tangent line.(draw the graph)
Derivatives
10/07/18
Chsin rule to find the deriviative
If F(x) = f(g(x)), where f(3) = 4, f '(3) = 2, f '(−4) = 4, g(−4) = 3, and g'(−4) = 4, find F '(−4).F '(−4) =
Derivatives
10/07/18
If a cylinder tank holds 100,000 liters of water, which can be drained from the bottom of the tank in an hour, then Toricellis law gives the volume V of water r
If a cylinder tank holds 100,000 liters of water, which can be drained from the bottom of the tank in an hour, then Toricellis law gives the volume V of water remaining in the tank after T minutes...
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Derivatives Calculus
10/06/18
Find the derivative dy/dx
y=5uv4 (assume that u and v are dependent on the variable x)
Find the derivative of the function (PLEASE HELP)
L(t) = -2.3 + 0.24t + 0.0027t^2
Question: Find dL/dt for 18 ≤ t ≤ 38, using the limit definition of the derivation and then using differentiation rules.
Derivatives Calculus 1
10/01/18
Find the absolute extrema of the function on a closed interval
g(x) = 7 secx, [-pi/6, pi/3], solving for minimum (x,y) and maximum (x,y).
Derivatives Calculus 1
10/01/18
Find the absolute extrema of the function on a closed interval
g(x) = (8x^2)/(x-2) , [-2,1]
looking for: minimum (smaller x value) (x,y) = minimum (larger x value) (x,y) = maxiumum (x,y) =
09/27/18
A large clock has an hour hand which is 1 meter long, and a second hand which is 2 meters long.
a. What is the rate of change in the distance between the ends of the two hands, with respect to time, at 2:00 PM?
Hint: the distance between points (x1, y1) and (x2, y2) in the plane is...
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