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Maths
A Level

If y=5x+4x^3, find dy/dx.

When asked to find dy/dx, this means to differentiate. Differentiation is also a method of calculating the gradient of a line. (dy/dx = gradient.) The rule of differentiation is as follows: Step ...

Answered by Umair H. Maths tutor
3726 Views

Solve the equation 2cos2(x) + 3sin(x) = 3, where 0<x<=π

x = π/6, 5π/6, π/2

Answered by Ben C. Maths tutor
5155 Views

A curve has equation y = 20x -x^(2) - 2x^(3). The curve has a stationary point at the point M where x = −2. Find the x coordinates of the other stationary point.

First you must differentiate the given equation. This give you 20-2x-6x2. Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation...

Answered by Lawrence W. Maths tutor
3156 Views

Why do you get e^x when you differentiate e^x

It all comes down to the how e is defined. e=1+(1/1!)+(1/2!)+(1/3!) all the way up to (1/infinity). e^x is equal to 1 + (x/1!)+((x^2)/2!)+((x^3/3!)) and again continues on to ((x^infinite)/factorial of in...

Answered by Curtis E. Maths tutor
2654 Views

Integrating sin^5(x)cos(x) (in slow logical steps)

Step 1: Make a substitution for u=Sin(x) differentiate that function to show du/dx =Cos(x)Step 2: Rearrange for dx to show dx=1/Cos(x) du and replace the dx in your original integral to show (integral sym...

Answered by Curtis E. Maths tutor
2650 Views

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