What is the d/(dy)((350)/(sqrt(x^2+y^2))) ?

The d/(dy)((350)/(sqrt(x^2+y^2))) is -(350y)/((x^2+y^2)^{3/2)}

What is the first d/(dy)((350)/(sqrt(x^2+y^2))) ?

The first d/(dy)((350)/(sqrt(x^2+y^2))) is -(350y)/((x^2+y^2)^{3/2)}

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\frac{d}{d y} (\frac{350}{x ^{2} + y ^{2}})

- \frac{350 y}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}}

Solution steps

\frac{d}{d y} (\frac{350}{x ^{2} + y ^{2}})

Treat

x

as a constant

Take the constant out:

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

= 350 \frac{d}{d y} (\frac{1}{x ^{2} + y ^{2}})

Apply exponent rule:

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

= 350 \frac{d}{d y} ((x^{2} + y^{2})^{- \frac{1}{2}})

Apply the chain rule:

- \frac{1}{2 ( x ^{2} + y ^{2} ) ^{\frac{3}{2}}} \frac{d}{d y} (x^{2} + y^{2})

= - \frac{1}{2 ( x ^{2} + y ^{2} ) ^{\frac{3}{2}}} \frac{d}{d y} (x^{2} + y^{2})

\frac{d}{d y} (x^{2} + y^{2}) = 2 y

= 350 (- \frac{1}{2 ( x ^{2} + y ^{2} ) ^{\frac{3}{2}}} \cdot 2 y)

Simplify

350 (- \frac{1}{2 ( x ^{2} + y ^{2} ) ^{\frac{3}{2}}} \cdot 2 y) : - \frac{350 y}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}}

= - \frac{350 y}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}}

\frac{\partial}{\partial x} (6 - 2 x^{2} + 3 y^{2})

f (x) = x^{\frac{1}{2}}, (81, 9)

\int \frac{ln ( x )}{5 x ^{4}} d x

\int 4 - r^{2} d r

h \to 0 lim (\frac{( h - 3 ) ^{3} + 1}{h})

What is the d/(dy)((350)/(sqrt(x^2+y^2))) ?
The d/(dy)((350)/(sqrt(x^2+y^2))) is -(350y)/((x^2+y^2)^{3/2)}
What is the first d/(dy)((350)/(sqrt(x^2+y^2))) ?
The first d/(dy)((350)/(sqrt(x^2+y^2))) is -(350y)/((x^2+y^2)^{3/2)}