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Popular >

derivative of (5x^6/2+(12)/(7x^5)-x)

Solution

\frac{d}{d x} (\frac{5 x ^{6}}{2} + \frac{12}{7 x ^{5}} - x)

Solution

15 x^{5} - \frac{60}{7 x ^{6}} - 1

Solution steps

\frac{d}{d x} (\frac{5 x ^{6}}{2} + \frac{12}{7 x ^{5}} - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{5 x ^{6}}{2}) + \frac{d}{d x} (\frac{12}{7 x ^{5}}) - \frac{d x}{d x}

\frac{d}{d x} (\frac{5 x ^{6}}{2}) = 15 x^{5}

\frac{d}{d x} (\frac{12}{7 x ^{5}}) = - \frac{60}{7 x ^{6}}

\frac{d x}{d x} = 1

= 15 x^{5} - \frac{60}{7 x ^{6}} - 1

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (5x^6/2+(12)/(7x^5)-x) ?
The derivative of (5x^6/2+(12)/(7x^5)-x) is 15x^5-(60)/(7x^6)-1
What is the first derivative of (5x^6/2+(12)/(7x^5)-x) ?
The first derivative of (5x^6/2+(12)/(7x^5)-x) is 15x^5-(60)/(7x^6)-1