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find the gradient of the line y=2x^2-12x+16 at the coordinates (5,6)

dy/dx = 4x - 12
x-coordinate= 5 so sub in
20-12 = 8

Answered by • Maths tutor

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Find dy/dx, given that y=(3x+1)/(2x+1)

Since the equation for y is given in the format y=u/v, the use of the quotient rule is the easiest way to find the differential of this equation. The quotient rule states, (vu'-uv')/v^2 is equal to the di...

Answered by • Maths tutor

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Imagine a sector of a circle called AOB. With center O and radius rcm. The angle AOB is R in radians. The area of the sector is 11cm². Given the perimeter of the sector is 4 time the length of the arc AB. Find r.

11 = 1/2 r²RAB = x = rRr + r + x = 4x2r = 3rRR = 2/3r²R = 22r² = 33r = √33

Answered by Alice S. • Maths tutor

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Find x and y using the equations 3x + y= 10, x + y = 4

First of all there are 3 different methods of working out simultaneous equations: Elimination, Substitution and Graphical. Today I will show the substitution method.
If x + y = 4 then rearranging the...

Answered by Tobi O. • Maths tutor

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