356 Answered Questions for the topic Derivatives
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
09/14/18
F(1/n)=0 for all n€N then prove F'(0)= F"(0)=0
F(1/n)=0 for all n€N then prove F'(0)= F"(0)=0
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
07/05/18
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 -----
05/22/18
Related rates - how is the area of the triangle increasing
The legs of an isoceles triangle are increasing at a rate of 16cm/s while the base of the triangle remains constant at 60cm. At what rate is the area of the triangle increasing when each leg is 50cm?
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
05/05/18
Finding Minimum Point
Two poles 20 and 28 feet high respectively are 30 feet away. It must be fastened with cables fixed at a single point, from the ground to the ends of the points. Where are the cables to be fixed so...
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Derivatives Calculus 1
05/03/18
Given f(x) = x^2 if x<1 and ax^2+bx +c if x ≥ 1 find the values of a and b such that f` (1) exists?
find the values of derivatives, anyone who can help me to solve this problem welcome!!
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