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If f(x) = x^2 - 3x + 2, find f'(x) and f''(x)

f'(x) is the first derivative of f(x) therefore f'(x) = 2x - 3 To find f''(x) simply take the derivative of f'(x), therefore f''(x) = 2
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Answered by Peter O. • Maths tutor
5053 Views

Solve the simultaneous equations 3x + 2y = 4 and 4x + 5y = 17

3x + 2y = 4 (equation 1) 4x + 5y = 17 (equation 2) Multiply equation 1 by 2.5, giving 7.5x + 5y = 10 (equation 1) 4x + 5y = 17 (equation 2) Subtract equation 2 from equation 1, giving 3.5x = -7 Therefore, x ...
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Answered by Isabella G. • Maths tutor
4481 Views

A boy (25kg) and a girl (20kg) are playing on a see-saw which is 4m long. If the boy sits 1m from the centre on the left side and the girl 2m from the centre on the other, which direction will the see-saw will rotate around its centre?

Student should calculate the moments about the pivot point (from diagram recognise this is the centre of the see-saw) for each child. Using the equation, moment = mass x acceleration x distance from pivot, w...
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Answered by John L. • Physics tutor
2745 Views

Factorise the following expression: x^2-1

(x+1)(x-1)
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Answered by Nelson T. • Maths tutor
3543 Views

How can you tell if a poem is in sonnet form?

The sonnet form has been changed and adapted over the years, however there are two main structures that poets use when writing sonnets. A Petrarchan sonnet has 14 lines and is structured as an octave (8 line...
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Answered by Olivia D. • English tutor
12315 Views