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Calculate the derivative of x^x

This problem is best solved using implicit differentiation and by tackling each side of the equation individually. First write down the problem as "y = x^x". Recalling that log rules can be used to...
GH
Answered by George H. • Maths tutor
4195 Views

How do you work out the median of a set of numbers?

The median is the middle number of a set of ordered numbers, i.e. halfway along. To find the median of the data set you should arrange the numbers into order, lowest to highest. Count equally from both ends ...
LK
Answered by Lydia K. • Maths tutor
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Use BIDMAS to answer 2 + 7 x 10

Using BIDMAS we know that we should do multiplication before addition and therefore we would get, 7 x 10 which is 70 and then 2 + 70 which is 72.This is really important to have rule about orders of operatio...
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Answered by Eleanor B. • Maths tutor
7258 Views

How do you integrate sin^2(3x)cos^3(3x) dx?

Use the identity sin^2(y) + cos^2(y) = 1 to get the expression sin^2(3x) (1-sin^2(3x)) cos(3x) dx.Use the substitution u= sin(3x) by dividing the expression by the derivative, u’= 3cos(3x).The expression the...
ZG
Answered by Zachary G. • Maths tutor
9843 Views

Express the equation x^2+6x-12 in the form (x+p)^2+q

To work out the value of p, half the x coefficient EG:6/2=3. Then work out the square EG: (x+3)^2=x^2+6x+9. To work out the value for q, place the constant of the original equation equal to the constant of t...
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Answered by Isabel S. • Maths tutor
7467 Views