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Maths
A Level

Find the gradient of the exponential curve y(x)=(9e^(7x))/(12e^(2x)) at x=2/5

According to the quotient rule, when y(x)=f(x)/g(x), y'(x)=(f'(x)g(x)-g'(x)f(x))/g(x)2

f(x)=9e7x f'(x)=63e7x, g(x)=12e2x g'(x)=24e2x

y...

CM
Answered by Connor M. • Maths tutor
3122 Views

Use the double angle formulae and the identity cos(A+B)≡cos(A)cos(B)−sin(A)sin(B) to obtain an expression for cos 3x in terms of cos x only

To answer, you need to know and be able to use your trigonometric formulae including the double angle formulae on data sheet.

1: cos(3x)=cos(2x+x) = cos(2x)cos(x) - sin(2x)sin(x)        split the 3...

SH
Answered by Sam H. • Maths tutor
16610 Views

how do I differentiate?

look at the power of term and multiply the coefficient of that term by the value of the power, then reduce the value of the terms power by 1. for example after differentiation 5X4 becomes 20X

SL
Answered by Stefen L. • Maths tutor
3031 Views

y = (x^2)sin(3x). Find dy/dx

We need to differentiate x2sin(3x). We know how to differentiate (x2) on its own, and how to differentiate sin(3x) on its own. So we can use the Product rule:

dy/dx = (d/dx(x<...

RD
Answered by Robert D. • Maths tutor
18181 Views

differentiate x^2 + y^3 + xy respect to x

2x + 3y2 * dy/dx + x * dy/dx +y 

XJ
Answered by Xianming J. • Maths tutor
3320 Views

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