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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
4601 Views

Solve the following equation: 4x + 7 = 2x - 5

Some students struggle to solve equations with unknowns on both sides. I think the easiest way to solve these types of equations is to use the balance method. This is where you treat the equation like a w...

ND
Answered by Nicholas D. Maths tutor
11055 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
5067 Views

simplify (2q+4)/(p(p+1)) -q/p

times the whole equation by the denominator of the left fraction giving p(2q+4)(p+1) - (qp(p+1))/p

notice that p can be cancelled in the right fraction, and then times out to give

2qp^2 + 4p...

MB
Answered by Madeleine B. Maths tutor
2858 Views

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