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Differentiate (2a+3)^5/2 with respect to a

Let u=2a+3, therefore du/da=2. Let y=u^5/2, therefore dy/du=5/2(u)^3/2 Hence dy/da=du/da*dy/du=2(5/2)*u^3/2=5u^3/2
GT
Answered by George T. • Maths tutor
4578 Views

A pizza has a radius of 12cm. Calculate the area of the pizza in cm² , giving your answer as a multiple of π.

So for this question you would need to know the formula for the area of a circle. This is Area = πr^2. In this formula, r = the radius. We are given the radius in the question. So all we need to do is put ou...
JH
Answered by Jess H. • Maths tutor
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A line L is parallel to y=4x+5 and passes through the point (-1, 6). Find the equation of the line L in the form y=ax+b . Find also the coordinates of its intersections with the axes.

Since L is parallel to y=4x+5 we know that the two lines have the same gradient. The gradient of a line in the form y=ax+b has is a, which means the gradient of y=4x+5 is 4, so L is y=4x+b and we just need t...
MM
Answered by Matt M. • Maths tutor
12486 Views

How would I differentiate a function of the form y=(f(x))^n?

A function of the form shown in the question is called a composite function, it is a 'function of a function'. It can be differentiated by expanding the brackets and differentiating each term individually bu...
MW
Answered by Matthew W. • Maths tutor
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If area of cube is 96, what is its volume?

64
MG
Answered by Maciej G. • Maths tutor
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