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Differentiate y = arcsin(x) with respect to x

y = arcsin(x) implies sin(y) = x
Differentiating with respect to x gives: cos(y)*dy/dx = 1So: dy/dx = 1/cos(y)
Noting that cos(y) = sqrt(1 - sin^2(y)): dy/dx = 1/sqrt(1 - sin^2...

Answered by Maths tutor
3944 Views

Why does a myelinated neurone have a faster conduction time than unmyelinated neurones?

Myelination allows saltatory conduction to occur, which is when the impulse 'jumps' along the axon using the nodes of Ranvier. The myelin also acts as an electrical insulator.

SH
Answered by Sasha H. Biology tutor
2871 Views

Find the coordinates of the centre of the circle with equation: x^2 + y^2 − 2*x + 14*y = 0

method: complete the squares for (x^2 - 2x ) and ( y^2 + 14y ) using the formula (b/2)^2 (where the general equation is ax^2 + bx) so that the equation becomes ax^2 + bx ...

CA
Answered by Catherine A. Maths tutor
4512 Views

What is the value of x if (15*sqrt(x)) / sqrt(5) = 6*sqrt(5)

Note: sqrt means square root, and * means multiply method (overall aim is to make x the subject): multiply both sides by sqrt(5) to get: 15 * sqrt(x) = 6 * 5further expand the right hand sid...

CA
Answered by Catherine A. Maths tutor
4133 Views

Why are some complex ions coloured?

Ligands causes d orbitals to split. Electrons get excited to higher energy levels from ground state. Visible light is absorbed to promote electron to a higher energy leve...

JO
Answered by Juliet O. Chemistry tutor
2814 Views

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