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Can you differentiate the following function using two methods:- y = e^(2x+1)

The first method to differentiate this fuction is the basic chain rule method. differentiate 2x+1 and add this to the front of the function. This gives us 2e^(2x+1). the other method to differentiate this fu...
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Answered by Rajenth N. • Maths tutor
5985 Views

Simplify the expression: 3x + 2y -7x + c + y

The important thing in this question is the letters. We want to group "like terms" together. This is what makes the expression simpler. I go about this by drawing a different shape around each lett...
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Answered by Edward S. • Maths tutor
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Core 3 - Modulus: Solve the equation |x-2|=|x+6|.

Modulus , also known as absolute value , takes whatever's between the | straight brackets | and makes it positive. For example, |3|=3, and | - 3|=3. Interestingly, if you have any real number x , then | x |=...
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Answered by Michael F. • Maths tutor
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A circle with centre C has equation x^2 + y^2 + 2x - 6y - 40 = 0. Express as (x - a)^2 + (y - b)^2 = d.

First we must complete the square on both x and y. To complete a square we must take the number before the x and half it, for example nx we get n/2. We then write it as (x + n/2) 2 - (n/2) 2 . So for our que...
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Answered by Reuben M. • Maths tutor
8867 Views

The following sequence reads: 8, 5, 2, -1. What are the 4th and 50th terms of this sequence?

With sequences we should follow the general formula of An + B . The n refers to the position in the sequence i.e. for the 3rd number in the sequence (which is 2 in the above sequence) n=3. The A refers to th...
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Answered by Aneesh S. • Maths tutor
6302 Views