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

The derivative of 3(5-7x^5) is -105(5-7x)^4

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

The first derivative of 3(5-7x^5) is -105(5-7x)^4

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

- 105 (5 - 7 x)^{4}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

= 5 (5 - 7 x)^{4} \frac{d}{d x} (5 - 7 x)

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

= 3 \cdot 5 (5 - 7 x)^{4} (- 7)

Simplify

= - 105 (5 - 7 x)^{4}

\frac{\partial}{\partial x} (x^{\frac{3}{4}} y^{- 4})

\int x sin^{2} (x) d x

\int (x^{2} - 1) e^{2 x} d x

y^{^{''}} - 6 y^{^{'}} + 4 y = 0

\int_{0}^{x} e^{t^{2}} d t

What is the derivative of 3(5-7x^5) ?
The derivative of 3(5-7x^5) is -105(5-7x)^4
What is the first derivative of 3(5-7x^5) ?
The first derivative of 3(5-7x^5) is -105(5-7x)^4