What is the derivative of 89sqrt(x) ?

The derivative of 89sqrt(x) is (89)/(2sqrt(x))

What is the first derivative of 89sqrt(x) ?

The first derivative of 89sqrt(x) is (89)/(2sqrt(x))

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\frac{d}{d x} (89 x)

\frac{89}{2 x}

Solution steps

\frac{d}{d x} (89 x)

Take the constant out:

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

= 89 \frac{d}{d x} (x)

Apply radical rule:

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

= 89 \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 89 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

89 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{89}{2 x}

= \frac{89}{2 x}

\frac{6 x}{x + 5}

\int e^{x} 41 + e^{x} d x

cos^{2} (e^{c o s^{2} (t)})

\frac{280}{( s ^{2} + 14 s + 245 )}

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What is the derivative of 89sqrt(x) ?
The derivative of 89sqrt(x) is (89)/(2sqrt(x))
What is the first derivative of 89sqrt(x) ?
The first derivative of 89sqrt(x) is (89)/(2sqrt(x))