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Popular >

derivative of 7x^5+(3cos(x)/x)

Solution

\frac{d}{d x} (7 x^{5} + \frac{3 cos ( x )}{x})

Solution

35 x^{4} + \frac{3 ( - x sin ( x ) - cos ( x ) )}{x ^{2}}

Solution steps

\frac{d}{d x} (7 x^{5} + \frac{3 cos ( x )}{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{5}) + \frac{d}{d x} (\frac{3 cos ( x )}{x})

\frac{d}{d x} (7 x^{5}) = 35 x^{4}

\frac{d}{d x} (\frac{3 cos ( x )}{x}) = \frac{3 ( - x sin ( x ) - cos ( x ) )}{x ^{2}}

= 35 x^{4} + \frac{3 ( - x sin ( x ) - cos ( x ) )}{x ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^5+(3cos(x)/x) ?
The derivative of 7x^5+(3cos(x)/x) is 35x^4+(3(-xsin(x)-cos(x)))/(x^2)
What is the first derivative of 7x^5+(3cos(x)/x) ?
The first derivative of 7x^5+(3cos(x)/x) is 35x^4+(3(-xsin(x)-cos(x)))/(x^2)