What is the derivative of y=-8-(x/7)^{5/2} ?

The derivative of y=-8-(x/7)^{5/2} is -(5x^{3/2})/(98*7^{1/2)}

What is the first derivative of y=-8-(x/7)^{5/2} ?

The first derivative of y=-8-(x/7)^{5/2} is -(5x^{3/2})/(98*7^{1/2)}

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derivative of

y = - 8 - (\frac{x}{7})^{\frac{5}{2}}

- \frac{5 x ^{\frac{3}{2}}}{98 \cdot 7 ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (- 8 - (\frac{x}{7})^{\frac{5}{2}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (8) - \frac{d}{d x} ((\frac{x}{7})^{\frac{5}{2}})

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

\frac{d}{d x} ((\frac{x}{7})^{\frac{5}{2}}) = \frac{5 x ^{\frac{3}{2}}}{98 \cdot 7 ^{\frac{1}{2}}}

= - 0 - \frac{5 x ^{\frac{3}{2}}}{98 \cdot 7 ^{\frac{1}{2}}}

Simplify

= - \frac{5 x ^{\frac{3}{2}}}{98 \cdot 7 ^{\frac{1}{2}}}

\frac{d}{d x} (4^{3 s i n (x) - e^{x}})

(3 P + 8)^{7}

y^{^{''}} = 6.1 e^{(- 2.7 t)}

ln (x^{2} - 24) = x - y + 6, (- 5, 1)

\int (x^{2} - 5 x + 5) d x

What is the derivative of y=-8-(x/7)^{5/2} ?
The derivative of y=-8-(x/7)^{5/2} is -(5x^{3/2})/(98*7^{1/2)}
What is the first derivative of y=-8-(x/7)^{5/2} ?
The first derivative of y=-8-(x/7)^{5/2} is -(5x^{3/2})/(98*7^{1/2)}