What is (\partial)/(\partial x)(x^3+zx+10) ?

The answer to (\partial)/(\partial x)(x^3+zx+10) is 3x^2+z

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(\partial)/(\partial x)(x^3+zx+10)

\frac{\partial}{\partial x} (x^{3} + z x + 10)

3 x^{2} + z

Solution steps

\frac{\partial}{\partial x} (x^{3} + z x + 10)

Treat

z

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{3}) + \frac{\partial}{\partial x} (z x) + \frac{\partial}{\partial x} (10)

\frac{\partial}{\partial x} (x^{3}) = 3 x^{2}

\frac{\partial}{\partial x} (z x) = z

\frac{\partial}{\partial x} (10) = 0

= 3 x^{2} + z + 0

Simplify

= 3 x^{2} + z

\int \frac{1}{u + 1} d u

\frac{d}{d x} (\frac{3}{5 x ^{5}})

x \to 1 + lim (\frac{1}{ln ( x )})

\int x sin (5 x^{2}) cos (8 x^{2}) d x

f (x) = 5 - \frac{4}{x}, (- 1, 1)

What is (\partial)/(\partial x)(x^3+zx+10) ?
The answer to (\partial)/(\partial x)(x^3+zx+10) is 3x^2+z