Question

differentation
find increasing,decreasing,maximum and minimum

f(x)=x-13/x^2-25

Answer 1

\[f(X)=\frac{ x-13 }{ x^{2}-25 }\]

Answer 2

I guide you only, take derivative first, tell me the result

Answer 3

1. differentiate using quotient rule OR
2. convert the fraction to a product and use product rule.

Answer 4

good friend!!!

Answer 5

I like the second method.. and here it goes
\[f(x)=\frac{x-13}{x^2-25}=(x-13)(x^2-25)^{-1}\\
f'(x)=(x-13)\left[(-1)(x^2-25)^{-2}{d\over dx}(x^2-25)\right]+(1)(x^2-25)^{-1}\\
f'(x)={-2x(x-13)\over(x^2-25)^2}+{1\over x^2-25}\]

Answer 6

you may simplify by taking the common denominator

Answer 7

\[\frac{ (x-1)(x-25) }{ (x^2-25)^2 }\]

Answer 8

how to find its stationary point???

Answer 9

at a stationary point \(f'(x)=0\)

Answer 10

at x=1, x=25 and x =5
is that right???

Answer 11

there seem to be only two values, not 3

Answer 12

which one is incorrect???

Answer 13

x=5 are incorrect right

Answer 14

right

Answer 15

thank u all