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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<...

Answered by Robert D. • Maths tutor

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

2x + 3y² * dy/dx + x * dy/dx +y

Answered by Xianming J. • Maths tutor

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dx/dt=-5x/2 t>=0 when x=60 t=0

dx/dt=-5x/2 Int(x, dx)=Int(-5/2, dt) ln(x)=-5t/2+c x=60 when t=0 ln(60)=c ln(x)=ln(60)-5t/2 x=e^ln(60)-5t/2 x=60/e^5t/2

Answered by Felix D. • Maths tutor

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Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

y² = (3x + 3)² = 9x² + 18x + 9

x² + 9x² + 18x + 9 = 9

10x² + 18x = 0 (root a: x = 0)

5x + 9 = 0 (root b: x = -1.8)

Answered by Alistair R. • Maths tutor

4167 Views

How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1...

Answered by Tharani T. • Maths tutor

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