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Popular >

derivative of f(x)=((2x)/3 x+3/2 x)2

Solution

derivative of

f (x) = (\frac{2 x}{3} x + \frac{3}{2} x) 2

Solution

\frac{8 x}{3} + 3

Solution steps

\frac{d}{d x} ((\frac{2 x}{3} x + \frac{3}{2} x) \cdot 2)

Simplify

(\frac{2 x}{3} x + \frac{3}{2} x) \cdot 2 : \frac{4 x ^{2}}{3} + 3 x

= \frac{d}{d x} (\frac{4 x ^{2}}{3} + 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4 x ^{2}}{3}) + \frac{d}{d x} (3 x)

\frac{d}{d x} (\frac{4 x ^{2}}{3}) = \frac{8 x}{3}

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

= \frac{8 x}{3} + 3

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\frac{d}{d x} (arccosh (sec (x)))

slope of (13,0),(-2,-12)slope

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\int_{1}^{6} x ln (x) d x

(\partial)/(\partial x)(sin(6x))

\frac{\partial}{\partial x} (sin (6 x))

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=((2x)/3 x+3/2 x)2 ?
The derivative of f(x)=((2x)/3 x+3/2 x)2 is (8x)/3+3
What is the first derivative of f(x)=((2x)/3 x+3/2 x)2 ?
The first derivative of f(x)=((2x)/3 x+3/2 x)2 is (8x)/3+3