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How do I differentiate (e^(2x)+1)^3?

You might be tempted to start by expanding the brackets, but in this case it's much easier to use the chain rule. This is the rule that, to differentiate f(g(x)), we find f'(g(x))*g'(x). In other words, to d...
AH
Answered by Alfie H. • Maths tutor
4584 Views

Solve x^2 = 4(x – 3)^2

x 2 = 4(x-3) 2 x 2 = 4(x-3)(x-3) - showing that these are double bracketsx 2 = 4(x 2 - 6x + 9) - expanding the double bracketsx 2 = 4x 2 - 24x + 36 - multiplying the 4 by the expression inside to remove the ...
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Answered by Emily L. • Maths tutor
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Expand the following equations

a. x(x+4)b. 3x(x+4)c. (x+8)(x+3)d. (x+7)^2
KS
Answered by Kane S. • Maths tutor
3844 Views

There are 10 boys and 20 girls in a class. In a class test, the mean score of the boys is 77. The mean score of the girls is 80. What is the mean score of the whole class?

To calculate the mean of the whole class:1) Find the sum of the individual scores of the whole class. Boys: 10 x 77 = 770Girls: 20 x 80 = 1600Total of Boys and Girls: 770 + 1600 = 23702) Divide the sum of th...
AM
Answered by Anuj M. • Maths tutor
7923 Views

Solve the simultaneous equations: 3x + y = -9, x^2 + 2x - 3 = y

Rearrange the first equation to equal 'y' so y = -9 - 3xSubstitute this into equation 2 so x^2 + 2x - 3 = -9 - 3xRearrange this to equal 0 so x^2 + 5x + 6 = 0Factorise this by utilising brackets so that the ...
MJ
Answered by Maryum J. • Maths tutor
6411 Views