Which of the following is NOT a valid definition of a derivative?

Mathematics

2 answers:

NeTakaya3 years ago

8 0

Answer:

C. f'(x) = lim(h→0) [(f(x+h) − f(x)) / h]

Step-by-step explanation:

The first derivative is the slope between two points as the distance between those points approaches 0. Slope is Δy/Δx. Choice D is a valid way to write the first derivative. It is the slope between the points (x, f(x)) and (x+h, f(x+h)). Choice C is not a valid definition.

galina1969 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

It should be:

lim h--> 0

[f(x+h) - f(x)]/h

That is,

In place of f(h), there should have been f(x)

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bazaltina [42]

Answer:

(D) 2

Step-by-step explanation:

The scale factor of the enlargement of ΔABC to ΔA'B'C' is given by the ratio of the length of the corresponding sides of ΔA'B'C' and ΔABC

Therefore, we have;

$The \ scale \ factor = \dfrac{Length \ of \overline {B'C'}}{Length \ of \overline {BC}} = \dfrac{Length \ of \overline {A'C'}}{Length \ of \overline {AC}} = \dfrac{Length \ of \overline {A'B'}}{Length \ of \overline {AB}}$