What is the derivative of y=(7sqrt(x))/8 ?

The derivative of y=(7sqrt(x))/8 is 7/(16sqrt(x))

What is the first derivative of y=(7sqrt(x))/8 ?

The first derivative of y=(7sqrt(x))/8 is 7/(16sqrt(x))

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derivative of

y = \frac{7 x}{8}

\frac{7}{16 x}

Solution steps

\frac{d}{d x} (\frac{7 x}{8})

Take the constant out:

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

= \frac{7}{8} \frac{d}{d x} (x)

Apply radical rule:

a = a^{\frac{1}{2}}

= \frac{7}{8} \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= \frac{7}{8} \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

\frac{7}{8} \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{7}{16 x}

= \frac{7}{16 x}

x \to 0 lim (\frac{x ^{2}}{e ^{x} - 1})

\int 3 sec (x) d x

\frac{\partial}{\partial x} (a^{2})

\int (x - 2)^{\frac{3}{2}} d x

x \to 7 - lim (\frac{2 x + 1}{x - 7})

What is the derivative of y=(7sqrt(x))/8 ?
The derivative of y=(7sqrt(x))/8 is 7/(16sqrt(x))
What is the first derivative of y=(7sqrt(x))/8 ?
The first derivative of y=(7sqrt(x))/8 is 7/(16sqrt(x))