Search our library of A Level questions

Top answers

All subjects

A Level

Differentiate the following equation: f(x) = 5x^3 + 6x^2 - 12x + 4

Answer:
f'(x) = 15x^2 + 12x -12
This is according to basic rules of differentiation and is a beginner level differentiation question as following:If f(x) = ax^nThen f'(x) = x(nx^n-1)

Answered by Holly K. • Maths tutor

3084 Views

Give two reasons why the ratio decidendi of a case is sometimes difficult to determine. Use case law to illustrate your reasons. (4 Marks)

First, judgments are often written in a complex, discursive fashion. It can be difficult to determine the main point that a judge is trying to make. In Woollin, it is unclear from the leading judgement wh...

Answered by Tom H. • Law tutor

5414 Views

Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x³ + 4x² + 5x + 9The rules from polynomial differentiation: d(axⁿ) / dx= a(nx^n-1) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules...

Answered by Annabelle S. • Maths tutor

3755 Views

A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).

3x^4/3-16y^3/4=32Differentiating implicitly:4x^1/3-12y^-1/4(dy/dx)=0Simplifying and rearranging:x^1/3=3y^-1/4(dy/dx)dy/dx=1/3(x^1/3y

Answered by Ben G. • Maths tutor

3623 Views

How have the Big Six energy companies benefited from vertical and horizontal integration?

Vertical integration refers to the combination, within a single firm, or two or more stages of production, where each stage was previously undertaken by separate firms. For example, a vertically integrate...

Answered by Joshua D. • Economics tutor

6339 Views