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Popular >

derivative of x^2+{z}(x(x)^2)

Solution

\frac{d}{d x} (x^{2} + z (x) (x)^{2})

Solution

2 x + \frac{d}{d x} (z (x)) x^{2} + 2 x z (x)

Solution steps

\frac{d}{d x} (x^{2} + z (x) (x)^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Popular Examples

derivative of csc^2(3x)

\frac{d}{d x} (csc^{2} (3 x))

integral of cos(x)(3+4sin^2(x))

\int cos (x) (3 + 4 sin^{2} (x)) d x

derivative of (3x-2y^2-(2x-3y)^2)

\frac{d}{d x} ((3 x - 2 y)^{2} - (2 x - 3 y)^{2})

derivative of (7(1-sin(x)))/(2cos(x))derivative of

\frac{7 ( 1 - sin ( x ) )}{2 cos ( x )}

integral from 0 to 2pi of sin(2x)

\int_{0}^{2 π} sin (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of x^2+{z}(x(x)^2) ?
The derivative of x^2+{z}(x(x)^2) is 2x+derivative of {z}(x)x^2+2x{z}(x)
What is the first derivative of x^2+{z}(x(x)^2) ?
The first derivative of x^2+{z}(x(x)^2) is 2x+derivative of {z}(x)x^2+2x{z}(x)