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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. ...

Answered by Benedict C. • Maths tutor

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

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

Answered by Hugo M. • Maths tutor

11249 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.

Δx and Δp represent the uncertainty in position and the uncertainty in momentum respectively.
If x is known absolutely then p cannot be known at all.
This means that the precise p...

Answered by Daniel H. • Physics tutor

12937 Views

How do I approach structuring and planning an essay? For example, how do I answer- 'The education of Miranda and Ferdinand is at the heart of The Tempest' Evaluate this view.

In an exam, having 5-10 minutes to plan an essay can seem daunting! This question in particular at first glance can seem overwhelming. It may seem like there’s not an explicit theme being addressed, and t...

Answered by Tania C. • English tutor

4043 Views

How do you solve a quadratic inequality eg find the values of x for which x^2 -6x +2 < -3

First we must change our inequality so that we have a zero on one side, In this case we can add three to both sides of the inequality, this gives: x^2 - 6x +5 < 0 Now let's consider the equation y = x^...

Answered by Isobel R. • Maths tutor

4621 Views