What is (\partial)/(\partial x)(100*(y-x^2)^2) ?

The answer to (\partial)/(\partial x)(100*(y-x^2)^2) is -400x(y-x^2)

Popular >

(\partial)/(\partial x)(100*(y-x^2)^2)

\frac{\partial}{\partial x} (100 \cdot (y - x^{2})^{2})

- 400 x (y - x^{2})

Solution steps

\frac{\partial}{\partial x} (100 (y - x^{2})^{2})

Treat

y

as a constant

Take the constant out:

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

= 100 \frac{\partial}{\partial x} ((y - x^{2})^{2})

Apply the chain rule:

2 (y - x^{2}) \frac{\partial}{\partial x} (y - x^{2})

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

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

= 100 \cdot 2 (y - x^{2}) (- 2 x)

Simplify

= - 400 x (y - x^{2})

3 + 7 t + t^{2} + δ (t)

y = \frac{5}{x}, y = \frac{3}{x}, x = 1, x = 5

\int 4 sin^{2} (θ) d θ

\int (x^{4} + 2 x^{3} - 5 x + 9) d x

x \to o lim (e^{x})

What is (\partial)/(\partial x)(100*(y-x^2)^2) ?
The answer to (\partial)/(\partial x)(100*(y-x^2)^2) is -400x(y-x^2)