291 Answered Questions for the topic Derivatives

25d

#### 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...
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Derivatives Calculus

26d

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

26d

#### Is it true that there is a function that is differentiable at x= -2, but not continuous at x = -2?

#### 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!

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

#### 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)

#### 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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#### 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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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

#### 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

#### 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

#### 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

#### 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

#### 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

#### Do "other" trigonometric functions than Tan Sin Cos and their derivatives exist?

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

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