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Differentiate y=sin(x)/5x^3 with respect to x

In order to complete this question we need to use the quotient rule (i.e. if an equation is of the form h(x)=f(x)/g(x) then h'(x)=(g(x) f'(x)-g'(x) f(x))/g(x)^2).In our example f'(x)=cos(x),g'(x)=15x^2, ther...
KZ
Answered by Kirill Z. • Maths tutor
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What is CBT and how can it be used to treat depression?

CBT stands for Cognitive Behavioural Therapy. The underlying principle behind it is the fact that our thoughts, emotions and behaviour and interdependent, and changing one will also determine a change in the...
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Answered by Iarina A. • Psychology tutor
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What is the pituitary and what role does it have?

The pituitary (or the hypophysis) is a gland located at the base of the encephalon. It's composed of three lobes: the anterior lobe, the intermediate lobe and the posterior lobe. These lobes produce hormones...
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How does the lac operon work?

The lac operon has 3 components: the promoter (Binding site for RNA polymerase), the operator (binding site for the repressor) and the structural genes that code for the enzymes required for lactose metaboli...
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Answered by Elena B. • Biology tutor
21055 Views

Find the stationary points of the function y = (1/3)x^3 + (1/2)x^2 - 6x + 15

A stationary point is a point on the function where the gradient is zero. The phrase 'stationary point' coming up in a question always indicates that differentiation may be useful to solve it. In this case, ...
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Answered by Matthew H. • Maths tutor
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