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Maths
A Level

Differentiate the following: 3/2 x^(3/4) + 1/3 x^(-1/4)

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach ...

AW
Answered by Alex W. Maths tutor
3116 Views

Draw y + 14 = x ( x - 4 ) and label all points of intersection with axes.

To begin with, lets rewrite the equation in a way which is easier to understand by making y the subject and multiplying out the brackets:

y = x2 - 4x - 14

this looks significantly...

TF
Answered by Thomas F. Maths tutor
3027 Views

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 ...

EL
Answered by Emma L. Maths tutor
3382 Views

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) / (2x2+4+pisin(piy) B) (62+3*pi) / (22+pi)

AH
Answered by Alisha H. Maths tutor
4419 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
2571 Views

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