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Maths
A Level

What is the derivative of f(x)=sqrt(3x+2)=(3x+2)^(1/2)?

By the power rule, the derivative of x^(n) is nx(n^1) and by the chain rule, the derivative of g(h(x)) is g'(h(x))h'(x).
Let g(x)=x^(1/2) and h(x)=3x+2 so that f(x)=g(h(x)).

Then by the power...

LP
Answered by Luke P. • Maths tutor
4889 Views

A circle C with centre at the point (2, –1) passes through the point A at (4, –5). Find an equation for the circle C.

You would start with this equation (x – a)2 + (y – b)2 = r2, with the center being at the point (a, b) and the radius being "r". Therefore you would have (x-2)

IN
Answered by Ishan N. • Maths tutor
5310 Views

Find the indefinite integral of cos^2 x

First, we need to write cos2x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos2x - 1 to see that cos2x = 1/2cos(2x)+1/2. Now, we can...

ER
Answered by Ethan R. • Maths tutor
8467 Views

The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]

Differentiate equation

dy/dx=0.5*x-0.5

Gradient is the same as the second equation

2/3=0..5*x-0.5 

Solving this ...

AM
Answered by Arnold M. • Maths tutor
6220 Views

Differentiate (4x+9)^3

(3*4)(4x+9)^(3-1)

Where 4 is the derivative of inside the brackets and 3 is the power of the brackets.

Therefore the answer is 12(4x+9)^2

AT
Answered by Alexander T. • Maths tutor
4731 Views

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