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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
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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
5560 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
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Solve the following simultaneous equations: 3x + 5y = 19 and 8x - 2y = -18. If both equations represent lines in a coordinate system, at which point do they intersect?

I. 3x + 5y = 19 II. 8x - 2y = -18 . We see that we can simplify the second equation, and we do so: II. x - y = -9. Now, we check to see which variable is the easiest to solve for in the system of equations. ...
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Answered by Ninett A. • Maths tutor
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