What is the derivative of (3x^2-x^7) ?

The derivative of (3x^2-x^7) is 7(3x^2-x)^6(6x-1)

What is the first derivative of (3x^2-x^7) ?

The first derivative of (3x^2-x^7) is 7(3x^2-x)^6(6x-1)

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

7 (3 x^{2} - x)^{6} (6 x - 1)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2} - x) = 6 x - 1

= 7 (3 x^{2} - x)^{6} (6 x - 1)

(1 - x)^{\frac{1}{2}}

\frac{d}{d x} (10 sec (2 x) tan (2 x))

\int \frac{a ^{2} x ^{2} - a ^{2}}{x} d x

y^{^{'}} = - \frac{2 t ( 1 + y ^{2} )}{y}

\int 6 x^{2} - 2 x + 8 d x

What is the derivative of (3x^2-x^7) ?
The derivative of (3x^2-x^7) is 7(3x^2-x)^6(6x-1)
What is the first derivative of (3x^2-x^7) ?
The first derivative of (3x^2-x^7) is 7(3x^2-x)^6(6x-1)