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When do I use the subjunctive?

There are a number of different situations in which you use the subjunctive in French. It is a 'mood' rather than a tense, and is used in dependent clauses following 'que' or 'qu''. In French, feelings of...

KD
Answered by Katherine D. French tutor
1507 Views

Find the coordinates of the stationary points y=x^4-8x^2+3

Begin with the equation: y = x4-8x2+3. Differentiate by bringing the power down and reducing the power by 1 of each of the terms with x in and constant terms (3) become zero. dy/dx =...

FH
Answered by Finlay H. Maths tutor
6225 Views

If the function f is defined as f= 1-2x^3 find the inverse f^-1

Set the function equal to y so y=1-2x^3now rearrange this to set x as the subject 2x^3= 1-yx^3 = (1-y)/2x = ((1-y)/2)^1/3therefore the inverse is f^-1 = ((1-x)/2)^1/3

KK
Answered by Kavita K. Maths tutor
3255 Views

Differentiate y=x^2cos(x)

This is done using the product rule: dy/dx=udv/dx +vdu/dxset y=uv therefore u=x^2 v=cos(x)differentiate these with respect to x du/dx= 2x as you multiply by the power and then subtract the power by 1dv/dx...

KK
Answered by Kavita K. Maths tutor
2920 Views

I don't understand how to visualise differentiation, please could you show my an example to allow me to understand what it actually is better?

Well first, we could start with a straight line y = x. You should remember from GCSE that the equation of a straight line is given by y = mx + c, where m here is equal to 1.

DW
Answered by Daniel W. Maths tutor
2741 Views

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