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

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

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

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

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derivative of

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

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

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (- x^{2} + 9) (- 2 x)

Simplify

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

\int cosh (3 x) d x

x \frac{d y}{d x} - y = x^{2} - y^{2}

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

x \frac{d y}{d x} - 3 y = x y^{4}

x \to 0 lim ((1 - 3 x)^{\frac{2}{x}})

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