What is the derivative of (5^x)^7 ?

The derivative of (5^x)^7 is 7ln(5)*78125^x

What is the first derivative of (5^x)^7 ?

The first derivative of (5^x)^7 is 7ln(5)*78125^x

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derivative of

(5^{x})^{7}

7 ln (5) \cdot 7812 5^{x}

Solution steps

\frac{d}{d x} ((5^{x})^{7})

Simplify

(5^{x})^{7} : 7812 5^{x}

= \frac{d}{d x} (7812 5^{x})

Apply the derivative exponent rule:

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

= 7812 5^{x} ln (78125)

Simplify

ln (78125) : 7 ln (5)

= 7 ln (5) \cdot 7812 5^{x}

x^{2} + a^{2}

x - 3 x^{\frac{1}{3}}

\frac{d}{d p} (p^{4} + a^{6.2} - c^{6.3})

y = 7 x^{2} - 1

2 sin^{2} (x) - cos^{2} (x)

What is the derivative of (5^x)^7 ?
The derivative of (5^x)^7 is 7ln(5)*78125^x
What is the first derivative of (5^x)^7 ?
The first derivative of (5^x)^7 is 7ln(5)*78125^x