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Popular >

derivative of (3-4x/2)

Solution

\frac{d}{d x} (\frac{3 - 4 x}{2})

Solution

- 2

Solution steps

\frac{d}{d x} (\frac{3 - 4 x}{2})

Take the constant out:

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

= \frac{1}{2} \frac{d}{d x} (3 - 4 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{1}{2} (\frac{d}{d x} (3) - \frac{d}{d x} (4 x))

\frac{d}{d x} (3) = 0

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

= \frac{1}{2} (0 - 4)

Simplify

\frac{1}{2} (0 - 4) : - 2

= - 2

Popular Examples

integral of (x^2)/(sqrt(1-x^6))

\int \frac{x ^{2}}{1 - x ^{6}} d x

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\int \frac{x ^{2}}{4} + 2 x + 3 d x

(\partial)/(\partial x)(ln(1+(x-1)^4*y^2))

\frac{\partial}{\partial x} (ln (1 + (x - 1)^{4} \cdot y^{2}))

(\partial)/(\partial y)(3e^xsin(y))

\frac{\partial}{\partial y} (3 e^{x} sin (y))

derivative of sqrt((1-x/x))

\frac{d}{d x} (\frac{1 - x}{x})

Frequently Asked Questions (FAQ)

What is the derivative of (3-4x/2) ?
The derivative of (3-4x/2) is -2
What is the first derivative of (3-4x/2) ?
The first derivative of (3-4x/2) is -2