瞬时速度的常e Practice Problems Online

Let $f(x)=6 x^2+7x-5$ . Then if the average rate of change of $f(x)$ when $x$ changes from $0$ to $18$ is the same as the rate of change of $f(x)$ at $x=a$ , what is the value of $a$ ?

What is the rate of change of $y = \frac{x(x-5)^2}{(x+3)^3}$ at $x = 1$ ?

\frac{1}{32}

\frac{1}{64}

\frac{1}{16}

-\frac{1}{16}

For a function $f(x)= x^2+px+q$ , if the average rate of change of $f(x)$ when $x$ changes from $a$ to $b$ is the same as the rate of change at $x=c$ , what is the value of $c$ ?

\dfrac{a+b}{2}

\sqrt{\left |ab \right |}

\dfrac{a+b}{ab}

\dfrac{ab}{a+b}

A person $180$ cm tall walks away from the base of a streetlight $4$ m high. If she follows a straight line at a velocity of $121$ m/min, what is the rate of change of the length of her shadow (in m/min)?

11 \text{ m/min}

220 \text{ m/min}

99 \text{ m/min}

121 \text{ m/min}

What is the rate of change of the function $y = \ln ( 8 x)$ when $x = \frac{ 1}{16}$ ?

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瞬时速度的常e

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瞬时速度的常e