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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 rule, g'(x)=(1/...
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Answered by Luke P. Maths tutor
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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 weig...
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Answered by Nicholas D. Maths tutor
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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 inbreedi...
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Answered by Rosie S. Biology tutor
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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 the...
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Answered by James M. Chemistry tutor
4148 Views

How do you approach an unseen poem?

​​​​​ Read the poem twice and think about any key themes that first jump out at you. After carefully reading the poem begin to annotate it, paying particular attention to any literary devices used by the poe...
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