Find the following. Explain your answer f'(0) for f(x)=5^(5/3)sgn x

Trystan Castaneda

Trystan Castaneda

Open question

2022-08-16

Find the following. Explain your answer
f ( 0 )  for  f ( x ) = x 5 3 s g n   x

Answer & Explanation

Kelton Glover

Kelton Glover

Beginner2022-08-17Added 17 answers

Solution: f ( x ) = x 5 3 s g n   x
{ 1 x < 0 0 x = 0 1 x > 0
d d x ( x n ) = n x n 1
Now, f ( x ) = s g n   x d d x ( x 5 3 ) + x 5 3 d d x ( s g n   x ) = s g n   x 5 3 × 1 3 + x 5 3 × 0 f ( 0 ) = 0 + 0 = 0

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?