What is the derivative of f(x)=4-(20)/(x^3)+3/(x^5) ?

The derivative of f(x)=4-(20)/(x^3)+3/(x^5) is (60)/(x^4)-(15)/(x^6)

What is the first derivative of f(x)=4-(20)/(x^3)+3/(x^5) ?

The first derivative of f(x)=4-(20)/(x^3)+3/(x^5) is (60)/(x^4)-(15)/(x^6)

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derivative of

f (x) = 4 - \frac{20}{x ^{3}} + \frac{3}{x ^{5}}

\frac{60}{x ^{4}} - \frac{15}{x ^{6}}

Solution steps

\frac{d}{d x} (4 - \frac{20}{x ^{3}} + \frac{3}{x ^{5}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4) - \frac{d}{d x} (\frac{20}{x ^{3}}) + \frac{d}{d x} (\frac{3}{x ^{5}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (\frac{20}{x ^{3}}) = - \frac{60}{x ^{4}}

\frac{d}{d x} (\frac{3}{x ^{5}}) = - \frac{15}{x ^{6}}

= 0 - (- \frac{60}{x ^{4}}) - \frac{15}{x ^{6}}

Simplify

= \frac{60}{x ^{4}} - \frac{15}{x ^{6}}

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

f (x) = - 16 x^{\frac{3}{2}} + 6 x^{1.7} + x

\frac{d}{d x} ((cos (x))^{x})

\frac{( x - 1 )}{x + 1}

- 7 x^{4} + 11 x^{2} - 4

What is the derivative of f(x)=4-(20)/(x^3)+3/(x^5) ?
The derivative of f(x)=4-(20)/(x^3)+3/(x^5) is (60)/(x^4)-(15)/(x^6)
What is the first derivative of f(x)=4-(20)/(x^3)+3/(x^5) ?
The first derivative of f(x)=4-(20)/(x^3)+3/(x^5) is (60)/(x^4)-(15)/(x^6)