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simplify 36^(-1/2)

1/6 - we can split 36^(-1/2) into 36^(-1*1/2) this way we can apply what we know about basic power rules to split up the problem into more familiar chunks.x^(1/2) means we take the square root of x and x^(-1...
GB
Answered by George B. • Maths tutor
13061 Views

Differentiate sin3x-3x= f(x)

f'(x)=3cos3x-3differentiating the sin3xchain ruley =sinu u=3xdy/du=cosu du/dx=3dy/du x du/dx = 3cosuu= 3x3cos3x - 3
AW
Answered by Amy W. • Maths tutor
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Differentiate sin(2x)/x^2 w.r.t. x

Quotient Rule:d(u/v)/dx = (vu' - uv')/(v 2 )u = sin(2x) => u' = 2cos(2x)v = x 2 => v' = 2x=> (2x 2 cos(2x) - 2xsin(2x))/(x 4 )Product Rule:d(uv)/dx = vu' + uv'u = sin(2x) => u' = 2cos(2x)v = 1/x ...
VL
Answered by Vinh L. • Maths tutor
9566 Views

Prove that the square of an odd number is always 1 more than a multiple of 4

First, we need to define what an odd number is. An odd number can be expressed as the product of 2n+1, where n can be any whole number bigger than 0. You can check this by inputting a few numbers for n (say ...
ED
Answered by Emanuel D. • Maths tutor
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Solve 7x-5>22-2x

9x>27X>3
LP
Answered by Lucy P. • Maths tutor
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