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Differentiate: sin(x) + 2x^2

To tackle this problem, we will spilt the two terms given. Firsly, we'll take the sin(x) by itself: d/dx (sinx) = cos(x) - where d/dx means the differential of what is inside the bracket. This is a key diffe...
EL
Answered by Emma L. • Maths tutor
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Explain how and why the diffraction pattern of electrons passing through a slit depends on their momentum.

To understand this question, we have to consider the wave-particle duality of electrons. When passing through a slit, electrons exhibit a wavelike property- they diffract or spread out like a wave passing th...
TF
Answered by Thomas F. • Physics tutor
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The curve C has equation 2x^2y+2x+4y-cos(pi*y)=17 A) Use implict differenciation to find dy/dx B) point P(3,0.5) lies on C, find the x coodinate of the point A at which the normal to C at P meets the x axis.

A) dy/dx = (-4xy-2) / (2x 2 +4+pi sin(pi y) B) (62+3*pi) / (22+pi)
AH
Answered by Alisha H. • Maths tutor
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Explain the change of quark character associated with the beta-plus decay and deduce the equation.

First, we can deduce the equation for beta-plus decay in terms of the nucleons. We know a positron, ß + (antilepton), is produced, so to conserve lepton number an electron neutrino, v e (lepton), must also b...
TF
Answered by Thomas F. • Physics tutor
6919 Views

y=x^2, find dy/dx

y=x^2 if y = a*x^b then dy/dx = ba*x^(b-1) therefore dy/dx = 2*x
MW
Answered by Matthew W. • Maths tutor
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