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Popular >

derivative of y= 5/((2x^3))+2cos(x)

Solution

derivative of

y = \frac{5}{( 2 x ^{3} )} + 2 cos (x)

Solution

- \frac{15}{2 x ^{4}} - 2 sin (x)

Solution steps

\frac{d}{d x} (\frac{5}{2 x ^{3}} + 2 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5}{2 x ^{3}}) + \frac{d}{d x} (2 cos (x))

\frac{d}{d x} (\frac{5}{2 x ^{3}}) = - \frac{15}{2 x ^{4}}

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

= - \frac{15}{2 x ^{4}} - 2 sin (x)

Popular Examples

integral of (ln(x^9))/x

\int \frac{ln ( x ^{9} )}{x} d x

(dy)/(dx)-e^{4x+y}=0

\frac{d y}{d x} - e^{4 x + y} = 0

derivative of 4cos(5x)

\frac{d}{d x} (4 cos (5 x))

derivative of-1/2 e^{-x}

\frac{d}{d x} (- \frac{1}{2} e^{- x})

derivative of-(6x^2-6/(sqrt(x^3-3x+2)))

\frac{d}{d x} (- \frac{6 x ^{2} - 6}{x ^{3} - 3 x + 2})

Frequently Asked Questions (FAQ)

What is the derivative of y= 5/((2x^3))+2cos(x) ?
The derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)
What is the first derivative of y= 5/((2x^3))+2cos(x) ?
The first derivative of y= 5/((2x^3))+2cos(x) is -(15)/(2x^4)-2sin(x)