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Proof of Constant Times a Function: (cf(x))′ = cf ′(x)
It is very easy property to prove using the definition given you a recall, we can factor a constant out of a limit. Now there is the work for this property.
(cf(x))′ = limh→0 (cf(x + h) - cf(x))/h
= c limh→0 (f(x + h) - f(x))/h
= cf'(x)
Q. Graphs of Sin x and Cos x ? Ans. The sine and cosine functions are related to the path that an object might take around a circle. Suppose a dolphin was swimming over
X and Y are centers of circles of radius 9cm and 2cm and XY = 17cm. Z is the centre of a circle of radius 4 cm, which touches the above circles externally. Given that XZY=90 o , w
i want to trick to know how can i fastest calculate more than computer
A shuttlecock used for playing badminton has the shape of a frustum of a Cone mounted on a hemisphere. The external diameters of the frustum are 5 cm and 2 cm, and the height of t
Theorem If {a n } is bounded and monotonic then { a n } is convergent. Be cautious to not misuse this theorem. It does not state that if a sequence is not bounded and/or
two circle of radius of 2cm &3cm &diameter of 8cm dram common tangent
Product and Quotient Rule : Firstly let's see why we have to be careful with products & quotients. Assume that we have the two functions f ( x ) = x 3 and g ( x ) = x 6 .
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Properties of Dot Product u → • (v → + w → ) = u → • v → + u → • w → (cv → ) • w → = v → •(cw → ) = c (v → •w → ) v → • w → = w → • v →
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