What is the derivative of csqrt(x) ?

The derivative of csqrt(x) is c/(2sqrt(x))

What is the first derivative of csqrt(x) ?

The first derivative of csqrt(x) is c/(2sqrt(x))

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derivative of

c x

\frac{c}{2 x}

Solution steps

\frac{d}{d x} (c x)

Take the constant out:

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

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

Apply radical rule:

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

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

Apply the Power Rule:

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

= c \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

c \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{c}{2 x}

= \frac{c}{2 x}

y^{^{'}} - \frac{4}{x} y = \frac{y ^{3}}{x ^{3}}, y (1) = 1

\frac{d}{d x} (\frac{7}{10} x^{2} + 4 x^{3})

\frac{d y}{d x} - y = - \frac{x}{2}

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

x \to 3 lim (\frac{( x ^{2} - 2 x - 3 )}{x ^{2} - 9})

What is the derivative of csqrt(x) ?
The derivative of csqrt(x) is c/(2sqrt(x))
What is the first derivative of csqrt(x) ?
The first derivative of csqrt(x) is c/(2sqrt(x))