What is the derivative of 3x^5(7-2x^7) ?

The derivative of 3x^5(7-2x^7) is 3(5x^4(7-2x)^7-14x^5(7-2x)^6)

What is the first derivative of 3x^5(7-2x^7) ?

The first derivative of 3x^5(7-2x^7) is 3(5x^4(7-2x)^7-14x^5(7-2x)^6)

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Popular >

\frac{d}{d x} (3 x^{5} (7 - 2 x)^{7})

3 (5 x^{4} (7 - 2 x)^{7} - 14 x^{5} (7 - 2 x)^{6})

Solution steps

\frac{d}{d x} (3 x^{5} (7 - 2 x)^{7})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (x^{5} (7 - 2 x)^{7})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{5}, g = (7 - 2 x)^{7}

= 3 (\frac{d}{d x} (x^{5}) (7 - 2 x)^{7} + \frac{d}{d x} ((7 - 2 x)^{7}) x^{5})

\frac{d}{d x} (x^{5}) = 5 x^{4}

\frac{d}{d x} ((7 - 2 x)^{7}) = - 14 (7 - 2 x)^{6}

= 3 (5 x^{4} (7 - 2 x)^{7} + (- 14 (7 - 2 x)^{6}) x^{5})

Simplify

= 3 (5 x^{4} (7 - 2 x)^{7} - 14 x^{5} (7 - 2 x)^{6})

(x^{2} - 4), y = 0, x = - 4, x = 3

\int \frac{e ^{5 s i n (x)}}{sec ( x )} d x

\frac{d}{d x} (\frac{( 3 x - 5 ) ^{3}}{( 2 x ^{2} + 1 ) ^{4}})

\frac{\partial}{\partial y} (y)

y^{^{''}} - 2 y^{^{'}} - 48 y = 0

What is the derivative of 3x^5(7-2x^7) ?
The derivative of 3x^5(7-2x^7) is 3(5x^4(7-2x)^7-14x^5(7-2x)^6)
What is the first derivative of 3x^5(7-2x^7) ?
The first derivative of 3x^5(7-2x^7) is 3(5x^4(7-2x)^7-14x^5(7-2x)^6)