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Partial Derivatives
Partial derivatives are used while we want to investigate the effect of one independent variable on dependent variable. For illustration, the revenues of a farmer may depend on two variables that is; the amount of fertilizer applied and as well the type of the natural soil.
Assume ∏= 30x2y + y2 + 50x + 60y
Whereas ∏ = annual revenue in £ '000'
x = type of soil
y = amount of fertilizer applied
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Determine the tangent line to f ( x ) = 15 - 2x 2 at x = 1. Solution : We know from algebra that to determine the equation of a line we require either two points onto the li
A circle touches the sides of a quadrilateral ABCD at P, Q, R and S respectively. Show that the angles subtended at the centre by a pair of opposite sides are supplementary.
what is a Benchmark Fraction
We require to check the derivative thus let's use v = 60. Plugging it in (2) provides the slope of the tangent line as -1.96, or negative. Thus, for all values of v > 50 we will ha
How to sovle or prove whether an equation is a identity?
Solving Trig Equations with Calculators, Part II : Since this document is also being prepared for viewing on the web we split this section into two parts to keep the size of the
detail on identity function
differentiate x to the power 3
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