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Find the exact value of the gradient of the curve y = e^(2- x)ln(3x- 2). at the point on the curve where x = 2.

To solve this problem, we must first differentiate: Identify that we are able to use the product rule as our expression is of the form y = f(x)g(x) where f(x) = e^(2- x) and g(x) = ln(3x- 2). Hence f'(x) = -...
JC
Answered by Joe C. • Maths tutor
10636 Views

how do integrate an equation with a surd or a fraction?

most people are immediately confused when they see a surd or a fraction because they find it hard to apply the rule of integration directly to them. however it is not as complicated as it looks. all that nee...
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Answered by Abdullah D. • Maths tutor
10766 Views

How can I improve my mathematics

Well, you need to have a clear mind and know well the pattern that they will gonna ask. Then all you have to do is make sure you understand all the skills that you required to need.
JC
Answered by Joseph C. • Maths tutor
4487 Views

Solve 4x + 6 = 3

This is an example of a linear equation. To find x we can apply the same operations to both sides in order to isolate x. First we can subtract 6 from both sides. This gives us 4x on the left and -3 on the ri...
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Answered by Tom B. • Maths tutor
6203 Views

How do I solve equations with modulus functions on both sides?

Whilst it is possible to do it algebraically, it's usually easier to solve it graphically. For example: for which values of x is |x+2| = |3x-6|. By sketching the graphs of y=|x+2| and y=|3x-6|, it is easy to...
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Answered by Seb G. • Maths tutor
23511 Views