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Popular >

derivative of xsqrt(x^2-16)

Solution

\frac{d}{d x} (x x^{2} - 16)

Solution

\frac{2 x ^{2} - 16}{x ^{2} - 16}

Solution steps

\frac{d}{d x} (x x^{2} - 16)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = x^{2} - 16

= \frac{d x}{d x} x^{2} - 16 + \frac{d}{d x} (x^{2} - 16) x

\frac{d x}{d x} = 1

\frac{d}{d x} (x^{2} - 16) = \frac{x}{x ^{2} - 16}

= 1 \cdot x^{2} - 16 + \frac{x}{x ^{2} - 16} x

Simplify

1 \cdot x^{2} - 16 + \frac{x}{x ^{2} - 16} x : \frac{2 x ^{2} - 16}{x ^{2} - 16}

= \frac{2 x ^{2} - 16}{x ^{2} - 16}

Graph

Popular Examples

inverse oflaplace (10)/(s^2+s+10)inverse laplace

\frac{10}{s ^{2} + s + 10}

derivative of sqrt(e^{2x)+1}

\frac{d}{d x} (e^{2 x} + 1)

tangent of f(x)= 3/(x+1),\at x=7 tangent of

f (x) = \frac{3}{x + 1}, at x = 7

2y^{''}+8y^'+80y=60cos(8t)

2 y^{^{''}} + 8 y^{^{'}} + 80 y = 60 cos (8 t)

(\partial)/(\partial x)(e^{x+y})

\frac{\partial}{\partial x} (e^{x + y})

Frequently Asked Questions (FAQ)

What is the derivative of xsqrt(x^2-16) ?
The derivative of xsqrt(x^2-16) is (2x^2-16)/(sqrt(x^2-16))
What is the first derivative of xsqrt(x^2-16) ?
The first derivative of xsqrt(x^2-16) is (2x^2-16)/(sqrt(x^2-16))