Key to "Find all derivatives of the function y=1x."

Josalynn

Answered question

2021-04-10

Find all derivatives of the function y=1x.

doplovif

Skilled2021-04-12Added 71 answers

Step 1
there are only two derivatives of this function
y=x
or

y = 1^{x}

Step 2
Now if the function is
y=x
Then differentiate the above function with respect to x

\frac{d y}{d x} = \frac{d}{d x} (x)

\Rightarrow \frac{d y}{d x} = 1

Again, differentiate with respect to x,

\frac{d}{d x} (\frac{d y}{d x}) = \frac{d}{d x} (1)

\Rightarrow \frac{d^{2} y}{{d x}^{2}} = 0

Then there are only two derivatives of this function
Step 3
Now if the function is

y = 1^{x}

Then differentiate the above function with respect to x

\frac{d y}{d x} = \frac{d}{d x} (1^{x})

\Rightarrow \frac{d y}{d x} = 1^{x} \ln 1 = 0

Thus, there are only one derivative of this function.

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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