What is the derivative of x^5+x^4 ?

The derivative of x^5+x^4 is 5x^4+4x^3

What is the first derivative of x^5+x^4 ?

The first derivative of x^5+x^4 is 5x^4+4x^3

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\frac{d}{d x} (x^{5} + x^{4})

5 x^{4} + 4 x^{3}

Solution steps

\frac{d}{d x} (x^{5} + x^{4})

Apply the Sum/Difference Rule:

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

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

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

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

= 5 x^{4} + 4 x^{3}

10 y^{^{''}} - y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 0

\frac{d}{d x} (\frac{1 - 0.6 x}{x})

\frac{\partial}{\partial x} (\frac{x}{1 + x y})

\frac{d}{d x} (3 x + 6)

y^{^{'}} - 3 y = 6

What is the derivative of x^5+x^4 ?
The derivative of x^5+x^4 is 5x^4+4x^3
What is the first derivative of x^5+x^4 ?
The first derivative of x^5+x^4 is 5x^4+4x^3