What is the derivative of 2pisqrt(x/(9.8)) ?

The derivative of 2pisqrt(x/(9.8)) is (1.00354…)/(sqrt(x))

What is the first derivative of 2pisqrt(x/(9.8)) ?

The first derivative of 2pisqrt(x/(9.8)) is (1.00354…)/(sqrt(x))

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\frac{d}{d x} (2 π \frac{x}{9.8})

\frac{1.00354 \dots}{x}

Solution steps

\frac{d}{d x} (2 π \frac{x}{9.8})

Simplify

2 π \frac{x}{9.8} : 2.00708 \dots x

= \frac{d}{d x} (2.00708 \dots x)

Take the constant out:

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

= 2.00708 \dots \frac{d}{d x} (x)

Apply radical rule:

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

= 2.00708 \dots \frac{d}{d x} (x^{\frac{1}{2}})

Apply the Power Rule:

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

= 2.00708 \dots \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Simplify

2.00708 \dots \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{1.00354 \dots}{x}

= \frac{1.00354 \dots}{x}

9 x e^{x}

\frac{d}{d x} (y^{2} x)

\int x (1 - x^{2}) d x

\int (x + sin (x))^{2} d x

t sin^{2} (t)

What is the derivative of 2pisqrt(x/(9.8)) ?
The derivative of 2pisqrt(x/(9.8)) is (1.00354…)/(sqrt(x))
What is the first derivative of 2pisqrt(x/(9.8)) ?
The first derivative of 2pisqrt(x/(9.8)) is (1.00354…)/(sqrt(x))