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Find the turning point of the function y=f(x)=x^2+4x+4 and state wether it is a minimum or maximum value.

In order to find turning points, we differentiate the function. Hence we get f'(x)=2x + 4. Setting f'(x)=0 we get x = -2 and inputting this into f(x) we get y = 0 therefore the turning point is (-2,0). To...

BA
Answered by Basim A. Maths tutor
12464 Views

Differentiate arctan(x) with respect to x. Leave your answer in terms of x

Let y = arctan(x). Arctan(x) is difficult to differentiate but I know how to differentiate tan(x) (=sec^2(x)) so take the tan of both sides: tan(y) = x. The next step will be to differentiate both sides. ...

BC
Answered by Benedict C. Maths tutor
4573 Views

Differentiate with respect to x: 3 sin^2 x + sec 2x

6 sinx cosx + (2 sin 2x)/(cos^2 2x)

HM
Answered by Hugo M. Maths tutor
10744 Views

What are the uses of UT ?

  1. UT can either be followed by an indicative or subjunctive verb 2. UT + subjunctive: a) purpose clause (negated by replacing ut with ne) b) result clause (negated by ut + non) and signalled by a sign...
FS
Answered by Flo S. Latin tutor
14903 Views

The Heisenberg Uncertainty principle states that ΔxΔp > h/4π. What is represented by the terms Δx, and Δp? What can we say about p if the precise value of x is known? What does this mean for experimental results.

  1. Δx and Δp represent the uncertainty in position and the uncertainty in momentum respectively.
  2. If x is known absolutely then p cannot be known at all.
  3. This means that the precise p...
DH
Answered by Daniel H. Physics tutor
11597 Views

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