What is the derivative of (3x^2+5)^9 ?

The derivative of (3x^2+5)^9 is 54x(3x^2+5)^8

What is the first derivative of (3x^2+5)^9 ?

The first derivative of (3x^2+5)^9 is 54x(3x^2+5)^8

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derivative of

(3 x^{2} + 5)^{9}

54 x (3 x^{2} + 5)^{8}

Solution steps

\frac{d}{d x} ((3 x^{2} + 5)^{9})

Apply the chain rule:

9 (3 x^{2} + 5)^{8} \frac{d}{d x} (3 x^{2} + 5)

= 9 (3 x^{2} + 5)^{8} \frac{d}{d x} (3 x^{2} + 5)

\frac{d}{d x} (3 x^{2} + 5) = 6 x

= 9 (3 x^{2} + 5)^{8} \cdot 6 x

Simplify

= 54 x (3 x^{2} + 5)^{8}

\frac{d}{d x} (\frac{( x - y )}{y _{2} ( x )})

2 cos^{2} (\frac{t}{2})

(z - i)^{3}

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

\frac{d}{d x} (5 \cdot 2 tan^{23} (x))

What is the derivative of (3x^2+5)^9 ?
The derivative of (3x^2+5)^9 is 54x(3x^2+5)^8
What is the first derivative of (3x^2+5)^9 ?
The first derivative of (3x^2+5)^9 is 54x(3x^2+5)^8