What is (d^2)/(dx^2)((y)(-25y)) ?

The answer to (d^2)/(dx^2)((y)(-25y)) is -50((dy)/(dx)^2+(d^2y)/(dx^2)y)

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(d^2)/(dx^2)((y)(-25y))

\frac{d ^{2}}{d x ^{2}} ((y) (- 25 y))

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

Solution steps

\frac{d ^{2}}{d x ^{2}} ((y) (- 25 y))

Simplify

(y) (- 25 y) : - 25 y^{2}

= \frac{d ^{2}}{d x ^{2}} (- 25 y^{2})

\frac{d}{d x} (- 25 y^{2}) = - 50 y \frac{d y}{d x}

= \frac{d}{d x} (- 50 y \frac{d y}{d x})

\frac{d}{d x} (- 50 y \frac{d y}{d x}) = - 50 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

= - 50 (\frac{d y}{d x}^{2} + \frac{d ^{2} y}{d x ^{2}} y)

\frac{d}{d θ} ((r (θ)) (e^{3 θ}))

x^{7} - x^{7}

4 (h + 5)^{2} + 20 (h + 5) + 25

- x^{16} z^{16} + y^{16}

8 x - 8 y + a x - a y

What is (d^2)/(dx^2)((y)(-25y)) ?
The answer to (d^2)/(dx^2)((y)(-25y)) is -50((dy)/(dx)^2+(d^2y)/(dx^2)y)