What is the derivative of 4^{x/2} ?

The derivative of 4^{x/2} is 2^xln(2)

What is the first derivative of 4^{x/2} ?

The first derivative of 4^{x/2} is 2^xln(2)

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\frac{d}{d x} (4^{\frac{x}{2}})

2^{x} ln (2)

Solution steps

\frac{d}{d x} (4^{\frac{x}{2}})

Simplify

4^{\frac{x}{2}} : 2^{x}

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

Apply the derivative exponent rule:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= 2^{x} ln (2)

f (x) = 12 x

x^{- 7 c o s (x)}

\frac{1}{2 + 3 x}

f (x) = (x + 2 x) (2 x + 1)

\int \frac{( e ^{\frac{1}{x}} )}{x ^{3}} d x

What is the derivative of 4^{x/2} ?
The derivative of 4^{x/2} is 2^xln(2)
What is the first derivative of 4^{x/2} ?
The first derivative of 4^{x/2} is 2^xln(2)