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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)*3^2x -> dy...
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Answered by Tutor65063 D. • Maths tutor
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What were the causes and contributing factors of the European Reformation in the sixteenth century?

The European Reformation is a term used to describe the religious, cultural and political shift which marked the change from Medieval Catholic structures in society to an Early Modern Protestant society, the...
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Answered by Helena C. • History tutor
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What are the different usages of "conditions avec si"?

"Si" can be used to express a condition in three different ways. Two of them will be referring to something that can no longer be realised or acted upon, whereas one of them will be speaking toward...
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Answered by Selin U. • French tutor
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How to predict the bond angle and shape of a molecule of NH3

An atom of nitrogen has 5 valence electrons in its outer shell. Each hydrogen atom in ammonia bonds to the central nitrogen atom and contributes an electron each. This means there are 8 electrons in total on...
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Answered by Daidria P. • Chemistry tutor
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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 you...
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Answered by Daidria P. • Maths tutor
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