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Use the chain rule to show that, if y = sec(x), then dy/dx = sec(x)tan(x).

First, write y in terms of cos(x). We are familiar with cos(x) and know how to differentiate it. We know that sec(x) = 1/cos(x) = (cos(x))^-1. Next, find dy/dx in terms of cos(x) and sin(x). Ag...

Answered by Noah L. • Maths tutor

17491 Views

Looking at subjunctives, can you name a couple of instances in which a subjunctive is used, and how it is formed for regular verbs

The subjunctive is used to demonstrate uncertainty, and is also used following a large number of constructions, including thoughts and opinions in the negative. The subjunctive is formed by taking the 3rd...

Answered by Megan D. • French tutor

2050 Views

How does Christina Rossetti use language in "Goblin Market" to promote the theme of sensation?

In "Goblin Market" Christina Rossetti uses simile, and sense words to highlight the theme of sensation. In the first stanza, the description of different fruits intially indicates a relation to ...

Answered by Kyra W. • English Literature tutor

12175 Views

A right angle triangle has a base of √8 and a height of (√10+3). Show that the area is equal to 2√5+3√2.

The area of a triangle is equal to 1/2 x base x height, so we can write the equation for this question as: Area = 1/2 x √8 x (√10+3) We can then simplify √8 by writing it as its fa...

Answered by Elizabeth H. • Maths tutor

4295 Views

Solve the inequality x^2 > 3(x + 6)

In order to solve this inequality, it is helpful to have all the terms on the left-hand side of the equation. To do this, we can subtract 3(x + 6) from both sides of the equation. This gives us:

x^...

Answered by Joseph M. • Maths tutor

18536 Views