What is the derivative of 42(7P+5)^5 ?

The derivative of 42(7P+5)^5 is 1470(7P+5)^4

What is the first derivative of 42(7P+5)^5 ?

The first derivative of 42(7P+5)^5 is 1470(7P+5)^4

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derivative of

42 (7 P + 5)^{5}

1470 (7 P + 5)^{4}

Solution steps

\frac{d}{d P} (42 (7 P + 5)^{5})

Take the constant out:

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

= 42 \frac{d}{d P} ((7 P + 5)^{5})

Apply the chain rule:

5 (7 P + 5)^{4} \frac{d}{d P} (7 P + 5)

= 5 (7 P + 5)^{4} \frac{d}{d P} (7 P + 5)

\frac{d}{d P} (7 P + 5) = 7

= 42 \cdot 5 (7 P + 5)^{4} \cdot 7

Simplify

= 1470 (7 P + 5)^{4}

\int 15 sin^{5} (x) d x

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\frac{\partial}{\partial y} (2 y^{2} e^{x y^{2}})

\int_{- \infty}^{0} x e^{- 8 x} d x

What is the derivative of 42(7P+5)^5 ?
The derivative of 42(7P+5)^5 is 1470(7P+5)^4
What is the first derivative of 42(7P+5)^5 ?
The first derivative of 42(7P+5)^5 is 1470(7P+5)^4