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Popular >

derivative of 4x+x^2cos(1/x)

Solution

\frac{d}{d x} (4 x + x^{2} cos (\frac{1}{x}))

Solution

4 + 2 x cos (\frac{1}{x}) + sin (\frac{1}{x})

Solution steps

\frac{d}{d x} (4 x + x^{2} cos (\frac{1}{x}))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (x^{2} cos (\frac{1}{x}))

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

\frac{d}{d x} (x^{2} cos (\frac{1}{x})) = 2 x cos (\frac{1}{x}) + sin (\frac{1}{x})

= 4 + 2 x cos (\frac{1}{x}) + sin (\frac{1}{x})

Graph

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\int_{4}^{8} \frac{y}{y ^{2} - 2 y - 3} d y

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Frequently Asked Questions (FAQ)

What is the derivative of 4x+x^2cos(1/x) ?
The derivative of 4x+x^2cos(1/x) is 4+2xcos(1/x)+sin(1/x)
What is the first derivative of 4x+x^2cos(1/x) ?
The first derivative of 4x+x^2cos(1/x) is 4+2xcos(1/x)+sin(1/x)