What is the derivative of x^7+2x^6-x^3 ?

The derivative of x^7+2x^6-x^3 is 7x^6+12x^5-3x^2

What is the first derivative of x^7+2x^6-x^3 ?

The first derivative of x^7+2x^6-x^3 is 7x^6+12x^5-3x^2

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derivative of

x^{7} + 2 x^{6} - x^{3}

7 x^{6} + 12 x^{5} - 3 x^{2}

Solution steps

\frac{d}{d x} (x^{7} + 2 x^{6} - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{7}) + \frac{d}{d x} (2 x^{6}) - \frac{d}{d x} (x^{3})

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

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

\frac{d}{d x} (x^{3}) = 3 x^{2}

= 7 x^{6} + 12 x^{5} - 3 x^{2}

lo g_{10} (1 + y)

y = \frac{( x ^{2} + 1 )}{x ^{3}}

t^{2} + 1

t^{2} + 2

x^{3} - 3^{x}

What is the derivative of x^7+2x^6-x^3 ?
The derivative of x^7+2x^6-x^3 is 7x^6+12x^5-3x^2
What is the first derivative of x^7+2x^6-x^3 ?
The first derivative of x^7+2x^6-x^3 is 7x^6+12x^5-3x^2