What is the d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) ?

The d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) is 4{z}{x}

What is the first d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) ?

The first d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) is 4{z}{x}

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\frac{d}{d x} ((z) (2 x^{2} + 3 y^{2} + 5 z^{2} - 9))

4 z x

Solution steps

\frac{d}{d x} ((z) (2 x^{2} + 3 y^{2} + 5 z^{2} - 9))

Take the constant out:

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

= z \frac{d}{d x} (2 x^{2} + 3 y^{2} + 5 z^{2} - 9)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= z (\frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (3 y^{2}) + \frac{d}{d x} (5 z^{2}) - \frac{d}{d x} (9))

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

\frac{d}{d x} (3 y^{2}) = 0

\frac{d}{d x} (5 z^{2}) = 0

\frac{d}{d x} (9) = 0

= z (4 x + 0 + 0 - 0)

Simplify

= 4 z x

e^{z} (z + 1)

\frac{x - 8}{( x + 2 ) ( x ^{2} - 4 )}

ln (x) (x ln (x) - x)

\frac{2}{( 1 - y ) ( 2 - x - y )}

ln (x^{2} + 1) + x^{2} (2 x arctan (x) - 1) 6

What is the d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) ?
The d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) is 4{z}{x}
What is the first d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) ?
The first d/(d{x)}(({z})(2{x}^2+3{y}^2+5{z}^2-9)) is 4{z}{x}