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Popular >

d/(d{z)}((8{x}^3+3)^4{x}^5{z}^2)

Solution

\frac{d}{d z} ((8 x^{3} + 3)^{4} x^{5} z^{2})

Solution

2 (8 x^{3} + 3)^{4} x^{5} z

Solution steps

\frac{d}{d z} ((8 x^{3} + 3)^{4} x^{5} z^{2})

Take the constant out:

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

= (8 x^{3} + 3)^{4} x^{5} \frac{d}{d z} (z^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= (8 x^{3} + 3)^{4} x^{5} \cdot 2 z^{2 - 1}

Simplify

= 2 (8 x^{3} + 3)^{4} x^{5} z

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Frequently Asked Questions (FAQ)

What is the d/(d{z)}((8{x}^3+3)^4{x}^5{z}^2) ?
The d/(d{z)}((8{x}^3+3)^4{x}^5{z}^2) is 2(8{x}^3+3)^4{x}^5{z}
What is the first d/(d{z)}((8{x}^3+3)^4{x}^5{z}^2) ?
The first d/(d{z)}((8{x}^3+3)^4{x}^5{z}^2) is 2(8{x}^3+3)^4{x}^5{z}