What is the derivative of mx^n-nx^m ?

The derivative of mx^n-nx^m is mnx^{n-1}-nmx^{m-1}

What is the first derivative of mx^n-nx^m ?

The first derivative of mx^n-nx^m is mnx^{n-1}-nmx^{m-1}

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\frac{d}{d x} (m x^{n} - n x^{m})

mn x^{n - 1} - nm x^{m - 1}

Solution steps

\frac{d}{d x} (m x^{n} - n x^{m})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (m x^{n}) - \frac{d}{d x} (n x^{m})

\frac{d}{d x} (m x^{n}) = mn x^{n - 1}

\frac{d}{d x} (n x^{m}) = nm x^{m - 1}

= mn x^{n - 1} - nm x^{m - 1}

y^{^{'}} = \frac{( 1 + x )}{x y ^{14}}

y = (x^{2} - 15)^{4}, at x = 4

\frac{d}{d x} (ln (- cos (x^{2}) + 1))

\frac{d}{d x} (sin (\frac{x}{x + 1}))

x \to 7 lim ((x - 7)^{2} + x^{2})

What is the derivative of mx^n-nx^m ?
The derivative of mx^n-nx^m is mnx^{n-1}-nmx^{m-1}
What is the first derivative of mx^n-nx^m ?
The first derivative of mx^n-nx^m is mnx^{n-1}-nmx^{m-1}