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Differentiate x^(1/2)ln(3x) with respect to x.

First we notice that this is a product of two functions of x, so we are going to use the product rule. Recall (uv)'(x)=u'(x)v(x)+v'(x)u(x). Let u(x)=x^(1/2) and v(x)=ln(3x). We need to find u'(x) and v'(x). ...
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Answered by Aidan R. • Maths tutor
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Identify the stationary points of f(x)=3x^3+2x^2+4 (by finding the first and second derivative) and determine their nature.

f'(x)=9x 2 ​+4x, and f''(x)=18x+4 (derivatives) f'(x)=0 at x=0 or x=-4/9 when x=0 f''(x)>0 therefore a minimum value, when x=-4/9 f''(x)<0 and thus a maximum value.
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Answered by Sieff O. • Maths tutor
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How do you form and use and the pluperfect and conditional perfect tenses?

PLUPERFECT Used to describe an action or event that had taken place before some other event in the past How to form it: Auxiliary verb- etre or avoir in the IMPERFECT tense J’étais ; tu étais ; il/elle/on ét...
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Answered by Emily W. • French tutor
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Describe the blood flow through the heart

Venous blood enters the heart through the vena cava, it drains into the right atrium. The blood then flows through the tricuspid valve into the right ventricle. When the heart contracts the blood is ejected ...
AU
Answered by Alexandra U. • Biology tutor
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What are the steps involved in glycolysis and why does glycolysis occur?

Both aerobic and anaerobic respiration begin with glycolysis, which is the splitting of the 6 carbon glucose into 2, 3 carbon pyruvate molecules. This happens because glucose cannot be used directly by cells...
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Answered by Lara I. • Biology tutor
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