What is the derivative of y=(x^6)/(f(x)) ?

The derivative of y=(x^6)/(f(x)) is (6x^5f(x)-\frac{df)/(dx)x^6}{f(x)^2}

What is the first derivative of y=(x^6)/(f(x)) ?

The first derivative of y=(x^6)/(f(x)) is (6x^5f(x)-\frac{df)/(dx)x^6}{f(x)^2}

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derivative of

y = \frac{x ^{6}}{f ( x )}

\frac{6 x ^{5} f ( x ) - \frac{df}{d x} x ^{6}}{f ( x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x ^{6}}{f ( x )})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d x} ( x ^{6} ) f ( x ) - \frac{df}{d x} x ^{6}}{f ( x ) ^{2}}

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

= \frac{6 x ^{5} f ( x ) - \frac{df}{d x} x ^{6}}{f ( x ) ^{2}}

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

f (x) = x + 2

\frac{\partial}{\partial x} (3 y^{2} + x^{2} - 3)

y^{^{'}} = cos (2 x)

25 cos (\frac{π x}{50})

What is the derivative of y=(x^6)/(f(x)) ?
The derivative of y=(x^6)/(f(x)) is (6x^5f(x)-\frac{df)/(dx)x^6}{f(x)^2}
What is the first derivative of y=(x^6)/(f(x)) ?
The first derivative of y=(x^6)/(f(x)) is (6x^5f(x)-\frac{df)/(dx)x^6}{f(x)^2}