turkey-yks 2021 Q19

turkey-yks · Other · yks-ayt Differentiating Transcendental Functions Higher-order or nth derivative computation

Let $a$ and $b$ be real numbers. A function $f$ is defined on the set of positive real numbers as
$$f ( x ) = a x ^ { a } + b x ^ { b }$$
$$\begin{aligned} & f ( 1 ) = 6 \\ & f ^ { \prime } ( 1 ) = 20 \end{aligned}$$
Given that, what is $f''(1)$?
A) 44
B) 46
C) 48
D) 50
E) 52

Let $a$ and $b$ be real numbers. A function $f$ is defined on the set of positive real numbers as

$$f ( x ) = a x ^ { a } + b x ^ { b }$$

$$\begin{aligned}
& f ( 1 ) = 6 \\
& f ^ { \prime } ( 1 ) = 20
\end{aligned}$$

Given that, what is $f''(1)$?\\
A) 44\\
B) 46\\
C) 48\\
D) 50\\
E) 52

Paper Questions

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