What is the derivative of f(1/(1-5x^2)) ?

The derivative of f(1/(1-5x^2)) is 1/(1-5x^2)

What is the first derivative of f(1/(1-5x^2)) ?

The first derivative of f(1/(1-5x^2)) is 1/(1-5x^2)

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derivative of

f (\frac{1}{1 - 5 x ^{2}})

\frac{1}{1 - 5 x ^{2}}

Solution steps

\frac{d}{df} (f \frac{1}{1 - 5 x ^{2}})

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{1 - 5 x ^{2}} \frac{df}{df}

Apply the common derivative:

\frac{df}{df} = 1

= \frac{1}{1 - 5 x ^{2}} \cdot 1

Simplify

= \frac{1}{1 - 5 x ^{2}}

What is the derivative of f(1/(1-5x^2)) ?
The derivative of f(1/(1-5x^2)) is 1/(1-5x^2)
What is the first derivative of f(1/(1-5x^2)) ?
The first derivative of f(1/(1-5x^2)) is 1/(1-5x^2)