What is the first derivative of 25x ?

The first derivative of 25x is 25

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derivative of 25x

\frac{d}{d x} (25 x)

25

Solution steps

\frac{d}{d x} (25 x)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 25 \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= 25 \cdot 1

Simplify

= 25

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

y^{^{'}} = 2 y^{2}

y (1 + x^{2}) y^{^{'}} - x (1 + y^{2}) = 0, y (0) = 3

\int \frac{3 ln ^{2} ( x ) + 36}{x} d x

x \to - 8 lim (12 x + 11)