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y = 2x cos(3x) + (3x2-4) sin(3x)dy/dx = (2x x -sin(3x) x 3) + (2 x cos(3x)) + (6x sin(3x)) + ((3x2-4) cos(3x) x 3)dy/dx = -6x sin(3x) + 2 cos (3x) + 6x sin(3x)...
In order to find the antiderivative of the function we're given, we first have to study the general structure of the function. This function consists of a sum between cos(2x) and 5. Therefore, we have : F...
A stationary point occurs when the first derivative of the function = 0. The first derivative of f(x) is df(x)/dx = 3x^2 - 27Setting this to zero gives 3x^2 - 27 = 0 -> x = +/- 3To find whether i...
the differential of a function y=2x^3 is the rate of change of that function. finding the differential is done by following the steps below:1) bring down the power of the x term and multiply it by the ter...
We must firstly understand that the tangent at point P is linear, and we must use y = mx +c format for the equation. To calculate the equation we need to find the unknowns m and c. To find the unknown m w...
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