What is the derivative of y=sqrt(25-x-9x^2) ?

The derivative of y=sqrt(25-x-9x^2) is (-18x-1)/(2sqrt(25-x-9x^2))

What is the first derivative of y=sqrt(25-x-9x^2) ?

The first derivative of y=sqrt(25-x-9x^2) is (-18x-1)/(2sqrt(25-x-9x^2))

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derivative of

y = 25 - x - 9 x^{2}

\frac{- 18 x - 1}{2 25 - x - 9 x ^{2}}

Solution steps

\frac{d}{d x} (25 - x - 9 x^{2})

Apply the chain rule:

\frac{1}{2 25 - x - 9 x ^{2}} \frac{d}{d x} (25 - x - 9 x^{2})

= \frac{1}{2 25 - x - 9 x ^{2}} \frac{d}{d x} (25 - x - 9 x^{2})

\frac{d}{d x} (25 - x - 9 x^{2}) = - 18 x - 1

= \frac{1}{2 25 - x - 9 x ^{2}} (- 18 x - 1)

Simplify

\frac{1}{2 25 - x - 9 x ^{2}} (- 18 x - 1) : \frac{- 18 x - 1}{2 25 - x - 9 x ^{2}}

= \frac{- 18 x - 1}{2 25 - x - 9 x ^{2}}

\frac{d}{d x} ((x^{2} - 5)^{3})

x \to - 3 lim (+ (f (x)))

e^{θ}

\frac{d}{d x} (cot (π) x)

What is the derivative of y=sqrt(25-x-9x^2) ?
The derivative of y=sqrt(25-x-9x^2) is (-18x-1)/(2sqrt(25-x-9x^2))
What is the first derivative of y=sqrt(25-x-9x^2) ?
The first derivative of y=sqrt(25-x-9x^2) is (-18x-1)/(2sqrt(25-x-9x^2))