What is the derivative of x^5-7x+8 ?

The derivative of x^5-7x+8 is 5x^4-7

What is the first derivative of x^5-7x+8 ?

The first derivative of x^5-7x+8 is 5x^4-7

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derivative of

x^{5} - 7 x + 8

5 x^{4} - 7

Solution steps

\frac{d}{d x} (x^{5} - 7 x + 8)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (7 x) + \frac{d}{d x} (8)

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

\frac{d}{d x} (7 x) = 7

\frac{d}{d x} (8) = 0

= 5 x^{4} - 7 + 0

Simplify

= 5 x^{4} - 7

y^{^{''}} - 4 y^{^{'}} + 3 y = cos (4 t)

y = \frac{x}{x + 3}

\frac{d}{d x} (cos (\frac{x}{4}))

y^{^{''}} - 4 y^{^{'}} + 4 y = (3 x + 8) e^{2 x} + 8 x^{2}

\int y ln (y) - \frac{1}{9 - y ^{2}} d y

What is the derivative of x^5-7x+8 ?
The derivative of x^5-7x+8 is 5x^4-7
What is the first derivative of x^5-7x+8 ?
The first derivative of x^5-7x+8 is 5x^4-7