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))

\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}

s l o p e \frac{6 x}{x + 5}

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

in v erse l a pl a ce \frac{280}{( s ^{2} + 14 s + 245 )}

\frac{\partial}{\partial x} (4 x^{3})

t an g e n t f (x) = 8 x - x^{2}, at x = 1

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))