What is the derivative of 4sqrt(2x^2+9) ?

The derivative of 4sqrt(2x^2+9) is (8x)/(sqrt(2x^2+9))

What is the first derivative of 4sqrt(2x^2+9) ?

The first derivative of 4sqrt(2x^2+9) is (8x)/(sqrt(2x^2+9))

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derivative of

4 2 x^{2} + 9

\frac{8 x}{2 x ^{2} + 9}

Solution steps

\frac{d}{d x} (4 2 x^{2} + 9)

Take the constant out:

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

= 4 \frac{d}{d x} (2 x^{2} + 9)

Apply the chain rule:

\frac{1}{2 2 x ^{2} + 9} \frac{d}{d x} (2 x^{2} + 9)

= \frac{1}{2 2 x ^{2} + 9} \frac{d}{d x} (2 x^{2} + 9)

\frac{d}{d x} (2 x^{2} + 9) = 4 x

= 4 \cdot \frac{1}{2 2 x ^{2} + 9} \cdot 4 x

Simplify

4 \cdot \frac{1}{2 2 x ^{2} + 9} \cdot 4 x : \frac{8 x}{2 x ^{2} + 9}

= \frac{8 x}{2 x ^{2} + 9}

f (x) = - 3 x^{5} cos (x)

\int \frac{x ^{3}}{( 1 + x ^{4} ) ^{\frac{1}{2}}} d x

f (x) = x^{\frac{5}{2}} e^{x}

\int sec^{2} (x) csc (x) d x

\int 3 sin^{2} (x) cos (x) d x

What is the derivative of 4sqrt(2x^2+9) ?
The derivative of 4sqrt(2x^2+9) is (8x)/(sqrt(2x^2+9))
What is the first derivative of 4sqrt(2x^2+9) ?
The first derivative of 4sqrt(2x^2+9) is (8x)/(sqrt(2x^2+9))