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differentiate y=8x^3 - 4*x^(1/2) + (3x^2 + 2)/x

y= 24x^2 - 2x^(-1/2) + 3 - 2x^-2
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Answered by Abubakar M. • Maths tutor
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Given a function f(x)=3x^2+5x-1, find its derivative.

Derivative of 3x^2 is 3*(derivative of x^2) which is 3*(2x)=6x. Derivative of 5x is 5*(Derivative of x) which is 5*1=5 and derivative of (-1) is 0. Hence the answer is derivative of f(x) defined above is 6x+5.
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Answered by Carla F. • Maths tutor
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Make x the subject of the following formula: 2x-4=2y.

To answer this question we must rearrange the equation to isolate y.Firstly, add 4 to each side, giving 2x=2y+4; Finally, divide both sides by 2 giving x=(2y+4)/2.
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Answered by Simbarashe S. • Maths tutor
4774 Views

Make x the subject of the following equation: 2x-4=2y.

To answer this question we must rearrange the equation to isolate y.Firstly, add 4 to each side, giving 2x=2y+4; Finally, divide both sides by 2 giving x=(2y+4)/2.
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Answered by Simbarashe S. • Maths tutor
5493 Views

Solve 5(x+3) < 60

Our technique here will be the same used to solve the problem 5(x+3) = 60, but we must take care at each step to decide whether our inequality changes direction.Firstly, we expand the brackets to give 5x + 1...
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Answered by Arron B. • Maths tutor
17262 Views