Find the stationary points of 3x² + 12x + y2 + 36.
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Step-by-step explanation:
Throughout this module the following rules of differentiation will be assumed. (In the table of derivatives below, a is an arbitrary, non-zero constant.) [what is n? integer?]
y axn sin (ax) cos (ax) eax ln (ax)
dy
dx
naxn − 1 a cos (ax) −a sin (ax) a eax 1
x
If a is any constant and u, v are two functions of x, then:
d
dx
(u + v) = du
dx
+ dv
dx
d
dx
(au) = a du
dx
The stationary points of a function are those points where the gradient of the tangent (the derivative of the function) is zero.
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