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The curve C has the equation 4x^2 - y^3 - 4xy + 2y = 0 . The point P with coordinates (-2, 4) lies on C. Find the exact value of dy/dx at the point P.

4x² - y³ - 4xy + 2^y = 0To find dy/dx we need to differentiate all the terms in the equation. As you may notice the x's and y's are mixed together so we will have to use

Answered by Esther M. • Maths tutor

10021 Views

Differentiate with respect to x: y=2^x

This question demonstrates how the exponential function can be used to simplify equations. In its current form the equation appears complex and the method is not clear. However, if we take the ln of both ...

Answered by Hugo W. • Maths tutor

3533 Views

How do you describe graph translations on x and y?

On the y-axis: if the graph is moved vertically up by 'n', its affecting the y value by a positive amount, so your (x,y) becomes (x,y+n) and your equation becomes y+n=f(x) rather than y=f...

Answered by Georgina H. • Maths tutor

4758 Views

What is a linear equation?

The form of a linear equation. y=ax+bWhat does it look like on a graph. What is the gradientWhat is the y-intercept.How would you plot it accurately.Examples.

Answered by Kenneth R. • Maths tutor

2956 Views

How do you find the mean of a grouped frequency table?

The first thing to be aware of with grouped frequency is that we are not given the exact data, but instead we are told that we have some data and we have been able to divide it into set groups. Imagine we...

Answered by Daniel H. • Maths tutor

3878 Views