279 Answered Questions for the topic Derivatives

Calculate the first five derivatives

Calculate the first five derivatives of f(x)=cosx. Then determine f^(8)(x) and f^(37)(x)

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... more

03/26/19

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

03/23/19

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... more

03/23/19

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... more

03/22/19

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

03/21/19

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... more

03/18/19

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... more

03/15/19

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... 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... more

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,... more

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... more

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

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

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... more

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)

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) =

10/06/18

Find the derivative dy/dx

y=5uv4 (assume that u and v are dependent on the variable x)

10/01/18

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. 

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).

09/24/18

Calc 1 Help! For a certain graph y=f(x) the tangent line at the point (2,f(2)) goes through the points (3,2) and (5,-4). Find f(2) and f'(2)

I am unsure of how to do this problem or even set it up. I didn't know whether to find the slope of the two points or not and was wondering if one of you all could help me. I would really... more

09/13/18

(dP)/(dV)((nRT)/(V-nb)-(an^(2))/(V^(2)))

how do you do the derivative of this?

09/04/18

Is derivative of several variable function an vector quantity?

Please tell me that derivative of several variables function is vector or scalar?

07/24/18

Derivatives - local extremes

f(x) = x3 - 8x2 + 5x   Compute algebraically the x-coordinates of the points on the graph of f where the tangent to this graph is horizontal.    I know how to find the derivative:   f′(x) =... more
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