What is the d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) ?

The d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) is {z}(x,y)(30{x}^4+0+0)

What is the first d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) ?

The first d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) is {z}(x,y)(30{x}^4+0+0)

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\frac{d}{d x} ((z (x, y)) (6 x^{5} + 4 y^{3} + 4 y))

z (x, y) (30 x^{4} + 0 + 0)

Solution steps

\frac{d}{d x} ((z (x, y)) (6 x^{5} + 4 y^{3} + 4 y))

Take the constant out:

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

= z (x, y) \frac{d}{d x} (6 x^{5} + 4 y^{3} + 4 y)

Apply the Sum/Difference Rule:

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

= z (x, y) (\frac{d}{d x} (6 x^{5}) + \frac{d}{d x} (4 y^{3}) + \frac{d}{d x} (4 y))

\frac{d}{d x} (6 x^{5}) = 30 x^{4}

\frac{d}{d x} (4 y^{3}) = 0

\frac{d}{d x} (4 y) = 0

= z (x, y) (30 x^{4} + 0 + 0)

(sin (θ) + cos (θ) sin (θ)) sin (θ)

(x^{2} + 1) (- e^{- x})

5 x + 4 (- 4 x + 1)

\frac{( x + y i ) ^{5}}{( x ^{2} + y ^{2} ) ^{2}}

What is the d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) ?
The d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) is {z}(x,y)(30{x}^4+0+0)
What is the first d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) ?
The first d/(d{x)}(({z}(x,y))(6{x}^5+4{y}^3+4{y})) is {z}(x,y)(30{x}^4+0+0)