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Popular >

derivative of (4sqrt(x)+1^2)

Solution

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

Solution

\frac{4 ( 4 x + 1 )}{x}

Solution steps

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

Apply the chain rule:

2 (4 x + 1) \frac{d}{d x} (4 x + 1)

= 2 (4 x + 1) \frac{d}{d x} (4 x + 1)

\frac{d}{d x} (4 x + 1) = \frac{2}{x}

= 2 (4 x + 1) \frac{2}{x}

Simplify

2 (4 x + 1) \frac{2}{x} : \frac{4 ( 4 x + 1 )}{x}

= \frac{4 ( 4 x + 1 )}{x}

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\int_{- 4}^{0} \frac{1}{( x + 2 ) ^{\frac{1}{3}}} d x

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Frequently Asked Questions (FAQ)

What is the derivative of (4sqrt(x)+1^2) ?
The derivative of (4sqrt(x)+1^2) is (4(4sqrt(x)+1))/(sqrt(x))
What is the first derivative of (4sqrt(x)+1^2) ?
The first derivative of (4sqrt(x)+1^2) is (4(4sqrt(x)+1))/(sqrt(x))