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Popular >

derivative of {r}(x(x)^2-x^2)

Solution

\frac{d}{d x} (r (x) (x)^{2} - x^{2})

Solution

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

Solution steps

\frac{d}{d x} (r (x) (x)^{2} - x^{2})

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

integral from 2 to 4 of (2x+2)

\int_{2}^{4} (2 x + 2) d x

integral of (ln(x))/(sqrt(4+x))

\int \frac{ln ( x )}{4 + x} d x

integral of (x+e^{2x})

\int (x + e^{2 x}) d x

integral of 4/(b^4x^2+m^2)

\int \frac{4}{b ^{4} x ^{2} + m ^{2}} d x

integral of 4ln(2x+1)

\int 4 ln (2 x + 1) d x

Frequently Asked Questions (FAQ)

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