how do you do the derivative of this?

how do you do the derivative of this?

F(1/n)=0 for all n€N then prove F'(0)= F"(0)=0

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

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...

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...

Please help me find the answer using the chain rule

Floor joist are rectangular beams of wood used to support floors in buildings. The joists are cut from circular logs with a radius of 15 centimetres. The strength of a joist is proportional to the...

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

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

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?

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)

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...

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...

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 friction),...

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

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...

Derive f(x) = 5+ (4/x) +(3/x^2)

Find the derivatives of each of the following vectors. x(t) = [ t3 - 2t2 +t etsin(t) ]

Good morning, I hope somebody can help me. I have the following problem regarding Reverse Convertible Notes. The , 4-month RCN has the following data: S0 underlying:...

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