287 Answered Questions for the topic Derivatives

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).

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...
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Derivatives

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) =...
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Derivatives

07/09/18

#### Use the chain of rule to calculate dy/dx of y=(3x+5)^8

Please help me find the answer using the chain rule

#### Derivatives effect on graph?

sketch the graph of the function
x^4-x^3
i was wondering on how do we get the points that we have to plug on the graph? Are they only the x and y intercepts?

Derivatives

07/03/18

#### CALCULUS DERIVATIVES

Calculate (y^(k))(0) for 0 is less than or equal to k which is less than or equal to 5, where y=5x^4+ax^3+bx^+cx+d (with a, b, c, d the constants)

07/03/18

#### Very confusing optimization question!

I am really confused about this equation and how do you derive the volume and area equation!
” An open-top rectangular box is to be 6 meters high and have a volume of 300 cubic meter. Find the...
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Derivatives

07/02/18

#### Derivatives

A man on the 12th floor of a building sees a bucket (dropped by a window washer) pass his window and notes that it hits the ground 1.3 s later. Assuming a floor is 12 ft high (and neglecting air...
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Derivatives

07/02/18

#### Derivatives

The atmospheric CO2 level A(t) at Mauna Loa, Hawaii at time t (in parts per million by volume) is recorded by the Scripps Institution of Oceanography. The values for the months January-December...
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Derivatives Calculus

06/26/18

#### Use logarithmic differentiation to find y’ : (question in description)

y=(5√x4)cosx ÷ 3(2x+6) simplify answer

06/25/18

#### FInd the 1000th derivative of Ln(x+1)

I am struggling as i know the sequence but got no idea how to describe it mathematically!

Derivatives

06/18/18

#### If derivative doesn't exist at a point then this critical point cannot be a local minimum or maximum ? True or false?

I think the question is false. Knowing that a critical point MUST be a point where the derivative is 0 or undefined, then of it can be a local min/local max. Please correct me if im wrong

06/07/18

#### Points of discountuity

how do we find pointa of discountity of trignometric functions such as
tan^-1(5x)
or sec(5x)

06/03/18

#### Derivative Equations

Let f(x)=x^3+3x^2-144x+1
on what interval is f increasing (including the endpoints in the the interval)? Interval of increasing = ----
On what interval is f decreasing (including the...
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06/02/18

#### Derive the Equation

Let y=x^7-4x^5+8x^3-2x-7
Then y(2) is ---
Then (dy)/(dx) is ---
(d(2))/(dx) is ---
The second derivative of y is ---
and y''(2) is -----

05/10/18

#### Let f(x)=5/(x-1), use definition of derivative then find equation of tangent line at x=2

Use the definition of the derivative((f(x+h)-f(x))/h) to compute dy/dx, then find the equation of tangent line at x=2. Step by step calculation

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