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Find the derivative of the next function using the implicit method: x^2 sin(x+y)-5 y e^x​​​​​​​=0

Using the implicit form derivative rule: y'=-F x ' / F y ' : y'=-(2 x sin(x+y)+x 2 cos(x+y)-5 y e x ) / (x 2 cos(x+y)-5 e x )
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Answered by Lucia A. Maths tutor
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When performing differentiation in core 3, in what circumstances do I apply the chain, product and quotient rule?

You must apply the chain rule whenever you see a function contained within another function. For example, if you were to differentiate (sin x) 2 you would apply the chain rule as the sin function exists insi...
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Answered by James S. Maths tutor
3703 Views

2x + 4 > 16

Step 1- Get all the numbers on one side of the inequality sign and all the letters on the other side. Remember when a number is moved to the other side of an inequality, the sign infront changes from either ...
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Answered by Gemma W. Maths tutor
3626 Views

How do you simplify expressions involving different powers?

Let's answer the question by solving an example: Take (8x 2 * 5x 4 * 2y 3 )/(20x 3 ). Firstly, let's take a look at the first bracket and rearrange it so we have both numbers and variables grouped together: ...
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Answered by Patryk W. Maths tutor
3990 Views

How do you find the length of the longest side of a right-angled triangle?

First of all, I would ask the student what they think the question means and whether they have encountered a question like this before, so that I know where to start from. If the student is more of a visual ...
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Answered by Eddie T. Maths tutor
4841 Views