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Popular >

derivative of sqrt(4x^2-5)

Solution

\frac{d}{d x} (4 x^{2} - 5)

Solution

\frac{4 x}{4 x ^{2} - 5}

Solution steps

\frac{d}{d x} (4 x^{2} - 5)

Apply the chain rule:

\frac{1}{2 4 x ^{2} - 5} \frac{d}{d x} (4 x^{2} - 5)

= \frac{1}{2 4 x ^{2} - 5} \frac{d}{d x} (4 x^{2} - 5)

\frac{d}{d x} (4 x^{2} - 5) = 8 x

= \frac{1}{2 4 x ^{2} - 5} \cdot 8 x

Simplify

\frac{1}{2 4 x ^{2} - 5} \cdot 8 x : \frac{4 x}{4 x ^{2} - 5}

= \frac{4 x}{4 x ^{2} - 5}

Popular Examples

derivative of y=3x^3-10x-4/(x^3)derivative of

y = 3 x^{3} - 10 x - \frac{4}{x ^{3}}

(\partial)/(\partial x)((3xy)/(x^4+y^4))

\frac{\partial}{\partial x} (\frac{3 x y}{x ^{4} + y ^{4}})

(\partial)/(\partial x)(x+2y+1)

\frac{\partial}{\partial x} (x + 2 y + 1)

limit as h approaches 0 of ((2+h)^2-8)/h

h \to 0 lim (\frac{( 2 + h ) ^{2} - 8}{h})

(\partial)/(\partial x)(ln(sqrt(x^2)))

\frac{\partial}{\partial x} (ln (x^{2}))

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(4x^2-5) ?
The derivative of sqrt(4x^2-5) is (4x)/(sqrt(4x^2-5))
What is the first derivative of sqrt(4x^2-5) ?
The first derivative of sqrt(4x^2-5) is (4x)/(sqrt(4x^2-5))