What is the derivative of (35)/(4+x+sqrt(x)) ?

The derivative of (35)/(4+x+sqrt(x)) is -(35(1+2sqrt(x)))/(2sqrt(x)(4+x+\sqrt{x))^2}

What is the first derivative of (35)/(4+x+sqrt(x)) ?

The first derivative of (35)/(4+x+sqrt(x)) is -(35(1+2sqrt(x)))/(2sqrt(x)(4+x+\sqrt{x))^2}

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derivative of

\frac{35}{4 + x + x}

- \frac{35 ( 1 + 2 x )}{2 x ( 4 + x + x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{35}{4 + x + x})

Take the constant out:

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

= 35 \frac{d}{d x} (\frac{1}{4 + x + x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 35 \frac{d}{d x} ((4 + x + x)^{- 1})

Apply the chain rule:

- \frac{1}{( 4 + x + x ) ^{2}} \frac{d}{d x} (4 + x + x)

= - \frac{1}{( 4 + x + x ) ^{2}} \frac{d}{d x} (4 + x + x)

\frac{d}{d x} (4 + x + x) = \frac{1}{2 x} + 1

= 35 (- \frac{1}{( 4 + x + x ) ^{2}} (\frac{1}{2 x} + 1))

Simplify

35 (- \frac{1}{( 4 + x + x ) ^{2}} (\frac{1}{2 x} + 1)) : - \frac{35 ( 1 + 2 x )}{2 x ( 4 + x + x ) ^{2}}

= - \frac{35 ( 1 + 2 x )}{2 x ( 4 + x + x ) ^{2}}

\frac{d}{d x} (\frac{x - 6}{x + 4})

x \to \infty lim (4 (x - 3))

x \to \infty lim (x (0))

y^{2} - 2 x = 7, y - x = 4

y = 2 sin (π x - y)

What is the derivative of (35)/(4+x+sqrt(x)) ?
The derivative of (35)/(4+x+sqrt(x)) is -(35(1+2sqrt(x)))/(2sqrt(x)(4+x+\sqrt{x))^2}
What is the first derivative of (35)/(4+x+sqrt(x)) ?
The first derivative of (35)/(4+x+sqrt(x)) is -(35(1+2sqrt(x)))/(2sqrt(x)(4+x+\sqrt{x))^2}