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Popular >

derivative of in(x^2-5)

Solution

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

Solution

2 in x

Solution steps

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

Simplify

in (x^{2} - 5) : i (- 5 n + n x^{2})

= \frac{d}{d x} (i (- 5 n + n x^{2}))

Take the constant out:

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

= i \frac{d}{d x} (- 5 n + n x^{2})

Apply the Sum/Difference Rule:

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

= i (- \frac{d}{d x} (5 n) + \frac{d}{d x} (n x^{2}))

\frac{d}{d x} (5 n) = 0

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

= i (- 0 + 2 n x)

Simplify

= 2 in x

Popular Examples

y^'=1-e^{x-y+8}

y^{^{'}} = 1 - e^{x - y + 8}

inverse oflaplace 5/(8s)inverse laplace

\frac{5}{8 s}

limit as x approaches 3+of (x^2-9)^{x-3}

x \to 3 + lim ((x^{2} - 9)^{x - 3})

integral of (t^2+8)/(t^2-5t+6)

\int \frac{t ^{2} + 8}{t ^{2} - 5 t + 6} d t

tangent of 3x^2+4x tangent of

3 x^{2} + 4 x

Frequently Asked Questions (FAQ)

What is the derivative of in(x^2-5) ?
The derivative of in(x^2-5) is 2inx
What is the first derivative of in(x^2-5) ?
The first derivative of in(x^2-5) is 2inx