What is the derivative of (3x/4) ?

The derivative of (3x/4) is 3/4

What is the first derivative of (3x/4) ?

The first derivative of (3x/4) is 3/4

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\frac{d}{d x} (\frac{3 x}{4})

\frac{3}{4}

Solution steps

\frac{d}{d x} (\frac{3 x}{4})

Take the constant out:

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

= \frac{3}{4} \frac{d x}{d x}

Apply the common derivative:

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

= \frac{3}{4} \cdot 1

Simplify

= \frac{3}{4}

\frac{1}{4 x}

h \to 0 lim (- 2 - h)

y^{^{'}} = k (80 - y) (50 - y)

\int \frac{x}{x ^{2} + 25} d x