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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 5X 4 becomes 20X 3 .
SL
Answered by Stefen L. • Maths tutor
3515 Views

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

We need to differentiate x 2 sin(3x). We know how to differentiate (x 2 ) on its own, and how to differentiate sin(3x) on its own. So we can use the Product rule: dy/dx = (d/dx(x 2 ))sin(3x) + x 2 (d/dx(sin(...
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Answered by Robert D. • Maths tutor
19342 Views

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

2x + 3y 2 * dy/dx + x * dy/dx +y
XJ
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
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Answered by Felix D. • Maths tutor
5156 Views

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x) 2 + cos(x) 2 = 1 Dividing by cos(x) 2 gives: tan(x) 2 + 1 = sec(x) 2 Which rearranges as: sec(x) 2 - tan(x) 2 = 1 as required. tan(x) 2 + cos(x) 2 = 1 sec(x) 2 - 1 + cos(x) 2 = 1 sec(x) 2 + cos(x) 2 =...
AR
Answered by Alistair R. • Maths tutor
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