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The curve C has equation (4x^2-y^3+3^2x)=0. The point P (0,1) lies on C: what is the value of dy/dx at P?

Use the chain rule to differentiate the original equation: this results in 8x-3y^2*(dy/dx) + 2ln(3)3^2x=0. This can be rearranged to find dy/dx as a function of y and x: 3y^2(dy/dx)=8x+2ln(3)*3^2...

Answered by Tutor65063 D. Maths tutor
2798 Views

How do I find the stationary points of a curve?

To find the stationary points of a curve y, you should first find the differential of the curve(dy/dx).Once you have an equation for dy/dx, you should solve it for when dy/dx is equal to zero. This gives ...

Answered by Daidria P. Maths tutor
3101 Views

How do I know wether to use the sine or cosine rule?

You use the cosine rule when you have been given the length of two sides and an inclusive angle (the angle in between those two lines) or if you have been given the length of three sides.You use the sine ...

Answered by Daidria P. Maths tutor
7379 Views

An arithmetic series is 2,5,8,11... What is the nth term of this sequence?

Step 1: Difference between each term is 3. As the difference is constant it means that the degree of n in the nth term formula must be 1 (i.e no n^2, n^3 etc.). As we are adding 3 to each successive term ...

Answered by Tarun M. Maths tutor
34686 Views

Using Pythagoras theorem to find side lengths of a triangle

Pythagoras theorem can sound quite intimidating but it involves remembering just one equation and using it like a rule. This rule can only be used on right-angled triangle. Just remember c2 = ...

Answered by Jessica B. Maths tutor
2421 Views

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