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

The derivative of f(x)=(x^2+9x+2)^5 is 5(x^2+9x+2)^4(2x+9)

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

The first derivative of f(x)=(x^2+9x+2)^5 is 5(x^2+9x+2)^4(2x+9)

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derivative of

f (x) = (x^{2} + 9 x + 2)^{5}

5 (x^{2} + 9 x + 2)^{4} (2 x + 9)

Solution steps

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

Apply the chain rule:

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

= 5 (x^{2} + 9 x + 2)^{4} \frac{d}{d x} (x^{2} + 9 x + 2)

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

= 5 (x^{2} + 9 x + 2)^{4} (2 x + 9)

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What is the derivative of f(x)=(x^2+9x+2)^5 ?
The derivative of f(x)=(x^2+9x+2)^5 is 5(x^2+9x+2)^4(2x+9)
What is the first derivative of f(x)=(x^2+9x+2)^5 ?
The first derivative of f(x)=(x^2+9x+2)^5 is 5(x^2+9x+2)^4(2x+9)