What is the derivative of 10^{nx} ?

The derivative of 10^{nx} is ln(10)*10^{nx}n

What is the first derivative of 10^{nx} ?

The first derivative of 10^{nx} is ln(10)*10^{nx}n

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\frac{d}{d x} (1 0^{n x})

ln (10) \cdot 1 0^{n x} n

Solution steps

\frac{d}{d x} (1 0^{n x})

Apply exponent rule:

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

1 0^{n x} = e^{n x l n (10)}

= \frac{d}{d x} (e^{n x l n (10)})

Apply the chain rule:

e^{n x l n (10)} \frac{d}{d x} (n x ln (10))

= e^{n x l n (10)} \frac{d}{d x} (n x ln (10))

\frac{d}{d x} (n x ln (10)) = ln (10) n

= e^{n x l n (10)} ln (10) n

e^{n x l n (10)} = 1 0^{n x}

= ln (10) \cdot 1 0^{n x} n

f (x) = \frac{14}{( x + 4 ) ^{3}}

\frac{d y}{d x} = \frac{cos ( x )}{y}

n = 1 \sum \infty \frac{5 n}{2 n - 1}

\int t k d t

\int_{0}^{1} x - 1 d x

What is the derivative of 10^{nx} ?
The derivative of 10^{nx} is ln(10)*10^{nx}n
What is the first derivative of 10^{nx} ?
The first derivative of 10^{nx} is ln(10)*10^{nx}n