What is the derivative of 2(8^x) ?

The derivative of 2(8^x) is 3ln(2)*2^{1+3x}

What is the first derivative of 2(8^x) ?

The first derivative of 2(8^x) is 3ln(2)*2^{1+3x}

Popular >

derivative of

2 (8^{x})

3 ln (2) \cdot 2^{1 + 3 x}

Solution steps

\frac{d}{d x} (2 \cdot 8^{x})

Simplify

2 \cdot 8^{x} : 2^{1 + 3 x}

= \frac{d}{d x} (2^{1 + 3 x})

Apply exponent rule:

a^{b} = e^{b l n (a)}

2^{1 + 3 x} = e^{(1 + 3 x) l n (2)}

= \frac{d}{d x} (e^{(1 + 3 x) l n (2)})

Apply the chain rule:

e^{(1 + 3 x) l n (2)} \frac{d}{d x} ((1 + 3 x) ln (2))

= e^{(1 + 3 x) l n (2)} \frac{d}{d x} ((1 + 3 x) ln (2))

\frac{d}{d x} ((1 + 3 x) ln (2)) = 3 ln (2)

= e^{(1 + 3 x) l n (2)} \cdot 3 ln (2)

e^{(1 + 3 x) l n (2)} = 2^{1 + 3 x}

= 3 ln (2) \cdot 2^{1 + 3 x}

y^{^{''}} + 21 y = 0

\int x^{2} (\frac{x ^{3}}{12} + 4)^{3} d x

x \to \infty lim ((1 + \frac{n + 3}{4 n + 1})^{2 n})

\int θ (θ - 2)^{3} d θ

\int \frac{9 + 3 x}{1 + x ^{2}} d x

What is the derivative of 2(8^x) ?
The derivative of 2(8^x) is 3ln(2)*2^{1+3x}
What is the first derivative of 2(8^x) ?
The first derivative of 2(8^x) is 3ln(2)*2^{1+3x}