What is the derivative of 36(4P+1)^8 ?

The derivative of 36(4P+1)^8 is 1152(4P+1)^7

What is the first derivative of 36(4P+1)^8 ?

The first derivative of 36(4P+1)^8 is 1152(4P+1)^7

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derivative of

36 (4 P + 1)^{8}

1152 (4 P + 1)^{7}

Solution steps

\frac{d}{d P} (36 (4 P + 1)^{8})

Take the constant out:

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

= 36 \frac{d}{d P} ((4 P + 1)^{8})

Apply the chain rule:

8 (4 P + 1)^{7} \frac{d}{d P} (4 P + 1)

= 8 (4 P + 1)^{7} \frac{d}{d P} (4 P + 1)

\frac{d}{d P} (4 P + 1) = 4

= 36 \cdot 8 (4 P + 1)^{7} \cdot 4

Simplify

= 1152 (4 P + 1)^{7}

\int (4 y - y^{2})^{2} d y

e^{x + y}

\int sin (\frac{x}{5}) sin (\frac{x}{2}) d x

\int sin (x) \cdot cos (x) d x

y = x^{3} + 4 x, (1, 5)

What is the derivative of 36(4P+1)^8 ?
The derivative of 36(4P+1)^8 is 1152(4P+1)^7
What is the first derivative of 36(4P+1)^8 ?
The first derivative of 36(4P+1)^8 is 1152(4P+1)^7