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Find the gradient of the tangent to the curve with the equation y = (3x^4 - 18)/x at the point where x = 3

y = (3x- 18)/x

The gradient of a tangent to a curve is equal to dy/dx 

However, we must simplify this equation before we can differentiate it;

y = 3x3 - 18/x =...

RO
Answered by Rachel O. Maths tutor
4257 Views

Find the difference between the areas of these 2 shapes to 2 decimal places. Rectangle (width 4cm length 2.5cm) Circle (diameter 2.4) use pi = 3.14

Rectangle:

Area = width x length

hence area = 4cm x 2.5cm

area = 10cm2 

Circle: 

Area = pi x radius2

Radiu...

LH
Answered by Lyam H. Maths tutor
8275 Views

Find the turning points of the curve y = x^3 +5x^2 -6x +4

y= x3 +5x2 -6+4

dy/dx = 3x2 +10-6

...

AB
Answered by Arshan B. Maths tutor
19411 Views

Differentiate y=x^3

dy/dx = 3x^2

RH
Answered by Rhiannon H. Maths tutor
4692 Views

If the area of a rectangle with sides 3cm and (4+x)cm is equal to that of a triangle with base of 2xcm and a height of 4cm, find x

First, if the question does not already have one, draw a diagram. 

Area of a rectangle is base * height and area of a triangle is 1/2 * base * height. As the two areas are the same, you know you ca...

AK
Answered by Alice K. Maths tutor
4306 Views

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