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Popular >

derivative of (5x+2^4(3x-7))

Solution

\frac{d}{d x} ((5 x + 2)^{4} (3 x - 7))

Solution

20 (5 x + 2)^{3} (3 x - 7) + 3 (5 x + 2)^{4}

Solution steps

\frac{d}{d x} ((5 x + 2)^{4} (3 x - 7))

Apply the Product Rule:

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

f = (5 x + 2)^{4}, g = 3 x - 7

= \frac{d}{d x} ((5 x + 2)^{4}) (3 x - 7) + \frac{d}{d x} (3 x - 7) (5 x + 2)^{4}

\frac{d}{d x} ((5 x + 2)^{4}) = 20 (5 x + 2)^{3}

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

= 20 (5 x + 2)^{3} (3 x - 7) + 3 (5 x + 2)^{4}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (5x+2^4(3x-7)) ?
The derivative of (5x+2^4(3x-7)) is 20(5x+2)^3(3x-7)+3(5x+2)^4
What is the first derivative of (5x+2^4(3x-7)) ?
The first derivative of (5x+2^4(3x-7)) is 20(5x+2)^3(3x-7)+3(5x+2)^4