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Find the antiderivative of the function f(x)=cos(2x)+5.

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(x)...
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Answered by Tutor149135 D. • Maths tutor
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Find the stationary points of the function f(x) = x^3 - 27x and determine whether they are maxima or minima

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 = +/- 3 To find whether it is a m...
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Answered by Iman S. • Maths tutor
5584 Views

what is d(2x^3)/dx?

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 term i...
CZ
Answered by Charlotte Z. • Maths tutor
4667 Views

The curve C has equation y=2x^2 -11x +13. (a) The point P has coordinates (2, – 1) and lies on C. Find the equation of the tangent to C at P.

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 whic...
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Answered by Charles K. • Maths tutor
7230 Views

How can you integrate ln(x) with respect to x?

We can use substitution for this one. Take y=ln(x) to be equal to y= 1 x ln(x)Set u=ln(x) and dv/dx=1Compute du/dx and v:du/dx=1/x and v=xUse given formula - ∫ udv/dx dx = uv - ∫ vdu/dx dx= xln(x) - ∫ x/x dx...
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Answered by Samuel H. • Maths tutor
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