What is the derivative of (x^7)/a+a/b x^6-cx ?

The derivative of (x^7)/a+a/b x^6-cx is (7x^6)/a+(6ax^5)/b-c

What is the first derivative of (x^7)/a+a/b x^6-cx ?

The first derivative of (x^7)/a+a/b x^6-cx is (7x^6)/a+(6ax^5)/b-c

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derivative of

\frac{x ^{7}}{a} + \frac{a}{b} x^{6} - c x

\frac{7 x ^{6}}{a} + \frac{6 a x ^{5}}{b} - c

Solution steps

\frac{d}{d x} (\frac{x ^{7}}{a} + \frac{a}{b} x^{6} - c x)

Simplify

\frac{x ^{7}}{a} + \frac{a}{b} x^{6} - c x : \frac{x ^{7}}{a} + \frac{a x ^{6}}{b} - c x

= \frac{d}{d x} (\frac{x ^{7}}{a} + \frac{a x ^{6}}{b} - c x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{7}}{a}) + \frac{d}{d x} (\frac{a x ^{6}}{b}) - \frac{d}{d x} (c x)

\frac{d}{d x} (\frac{x ^{7}}{a}) = \frac{7 x ^{6}}{a}

\frac{d}{d x} (\frac{a x ^{6}}{b}) = \frac{6 a x ^{5}}{b}

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

= \frac{7 x ^{6}}{a} + \frac{6 a x ^{5}}{b} - c

cos (t - 1)

\int \frac{1}{x ^{2} - 324} d x

\frac{d}{d x} ((x^{2} - 6) e^{8 x})

\int 0 x d x

y = x^{2} (5 x - 1)^{3}

What is the derivative of (x^7)/a+a/b x^6-cx ?
The derivative of (x^7)/a+a/b x^6-cx is (7x^6)/a+(6ax^5)/b-c
What is the first derivative of (x^7)/a+a/b x^6-cx ?
The first derivative of (x^7)/a+a/b x^6-cx is (7x^6)/a+(6ax^5)/b-c