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291 Answered Questions for the topic Derivatives

Find the derivative of f(x) = (((e^x(x^2+cos(x)))/(arctan(x)ln^5(3x^4)))^4 using logarithmic differentiation

A step by step solution would be highly appreciated
Derivatives Calculus

26d

True or False Questions - Calculus

State, with explanation, if the following statements are True or False. If f’(5) = 1.8 and g’(5) = 4.2 then f(x) + g(x) has slope 6 at x = 5 It is possible for y = f(x) to have an inflection point... more
Derivatives Calculus

26d

Is it true that if f has an absolute minimum at c, then f ‘(c)=0?

Derivatives Calculus

26d

Is it true that the derivative of (f(x))^2 is (f’(x))^2?

Derivatives Calculus Functions

26d

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... more
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!
Derivatives Finance Interest Rates

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 Math Calculus

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)
Derivatives Calculus Graphs

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... more

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... more
Derivatives Calculus Limits

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
Derivatives Calculus Trigonometry

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
Derivatives Calculus Geometry

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
Derivatives Calculus Limits

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
Derivatives Calculus Geometry

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
Derivatives Calculus Trigonometry

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
Derivatives Calculus Limits

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
Derivatives Calculus Geometry

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
Derivatives Calculus Geometry

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
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,... more
Derivatives Calculus Mathematics

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
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
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