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Differentiate with respect to x: F(x)=(x^2+1)^2

To differentiate composite functions, (a function within a function) like in this case we need to use the chain rule. We can see that F(x)=f(g(x)) where we let f(x)= (x^2+1)^2 and g(x)= x^2+1. To use the ...

LG
3537 Views

You have a bag of 60 coloured marbles. 1/10 are red, 3/5 are blue, and the rest are green. How many green ones are there?

1/10 * 60=6 red marbles 3/5 * 60=36 blue marbles Therefore the amount of green marbles must be 60-(6+36)=18

IC
Answered by Isabelle C. Maths tutor
4132 Views

What is a radian?

A radian is the angle in a segment that gives an arc length of 1 radius. This is another way to measure angles instead of degrees. As the circumference of a circle is 2pir, we have 2pi radius...

PA
Answered by Prince A. Maths tutor
4728 Views

When using trigonometry to calculate side lengths/angles, how do you know which identity to use?

Choosing whether to use sin, cos or tan is what will gain you the majority of marks for a trig question. Firstly, you should label the three sides of the triangle as hypothenuse, adjacent and opposite. In...

RP
Answered by Rimka P. Maths tutor
3205 Views

The equation of a circle is x^2-6x+y^2+4y=12. Complete the square to find the centre and radius of the circle.

When we complete the square, we're looking for an equation that looks like (x-a)2 + (y-b)2 = r2, where (a,b) is the centre and r is the radius. When we expand brackets usi...

HA
Answered by Hubert A. Maths tutor
4903 Views

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