What is the derivative of y=(10^x)^2 ?

The derivative of y=(10^x)^2 is ln(10)*25^x*2^{2x+1}

What is the first derivative of y=(10^x)^2 ?

The first derivative of y=(10^x)^2 is ln(10)*25^x*2^{2x+1}

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derivative of

y = (1 0^{x})^{2}

ln (10) \cdot 2 5^{x} \cdot 2^{2 x + 1}

Solution steps

\frac{d}{d x} ((1 0^{x})^{2})

Simplify

(1 0^{x})^{2} : 10 0^{x}

= \frac{d}{d x} (10 0^{x})

Apply the derivative exponent rule:

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

= 10 0^{x} ln (100)

Simplify

10 0^{x} ln (100) : ln (10) \cdot 2 5^{x} \cdot 2^{2 x + 1}

= ln (10) \cdot 2 5^{x} \cdot 2^{2 x + 1}

What is the derivative of y=(10^x)^2 ?
The derivative of y=(10^x)^2 is ln(10)*25^x*2^{2x+1}
What is the first derivative of y=(10^x)^2 ?
The first derivative of y=(10^x)^2 is ln(10)*25^x*2^{2x+1}