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Popular >

derivative of sqrt(25+16t^2)

Solution

derivative of

25 + 16 t^{2}

Solution

\frac{16 t}{25 + 16 t ^{2}}

Solution steps

\frac{d}{d t} (25 + 16 t^{2})

Apply the chain rule:

\frac{1}{2 25 + 16 t ^{2}} \frac{d}{d t} (25 + 16 t^{2})

= \frac{1}{2 25 + 16 t ^{2}} \frac{d}{d t} (25 + 16 t^{2})

\frac{d}{d t} (25 + 16 t^{2}) = 32 t

= \frac{1}{2 25 + 16 t ^{2}} \cdot 32 t

Simplify

\frac{1}{2 25 + 16 t ^{2}} \cdot 32 t : \frac{16 t}{25 + 16 t ^{2}}

= \frac{16 t}{25 + 16 t ^{2}}

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Frequently Asked Questions (FAQ)

What is the derivative of sqrt(25+16t^2) ?
The derivative of sqrt(25+16t^2) is (16t)/(sqrt(25+16t^2))
What is the first derivative of sqrt(25+16t^2) ?
The first derivative of sqrt(25+16t^2) is (16t)/(sqrt(25+16t^2))