What is the derivative of 5^{2y} ?

The derivative of 5^{2y} is 2ln(5)*25^y

What is the first derivative of 5^{2y} ?

The first derivative of 5^{2y} is 2ln(5)*25^y

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derivative of

5^{2 y}

2 ln (5) \cdot 2 5^{y}

Solution steps

\frac{d}{d y} (5^{2 y})

Simplify

5^{2 y} : 2 5^{y}

= \frac{d}{d y} (2 5^{y})

Apply the derivative exponent rule:

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

= 2 5^{y} ln (25)

Simplify

ln (25) : 2 ln (5)

= 2 ln (5) \cdot 2 5^{y}

\frac{d y}{d x} = x^{4} (y - 2)

x \to 1 lim (cos (x π))

\frac{1}{x ^{13}}

x y^{^{'}} - 2 y = - 2 x^{2} + x - 2

f (x) = 6 x^{2} - x^{3}, at x = 1

What is the derivative of 5^{2y} ?
The derivative of 5^{2y} is 2ln(5)*25^y
What is the first derivative of 5^{2y} ?
The first derivative of 5^{2y} is 2ln(5)*25^y