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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 ...
x = π/6, 5π/6, π/2
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...
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...
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...
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