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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
5162 Views

Why is genetic diversity important within a population?

Genetic diversity within a population is the variety of different alleles (versions) of genes present, which lead to a variety of phenotypes. It is important for a number of reasons, such preventing inbre...

RS
Answered by Rosie S. Biology tutor
9426 Views

Why does nuclear radius decrease and first ionisation energy increase across the period?

As we move across the period electrons occupy the same outer electron shell, having roughly the same distance to the nucleus. Moving across the period nuclear charge increases as the number of protons in ...

JM
Answered by James M. Chemistry tutor
3669 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
5557 Views

How did Meselson and Stahl provide evidence for semi-conservative replication?

One sample of bacteria was grown in a nutrient broth containing light nitrogen (N14) and one was grown in a broth with heavy nitrogen (N15). The bacteria took up the nitrogen to make...

CS
Answered by Chloe S. Biology tutor
21544 Views

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