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Popular >

derivative of (log_{10}(x)^2)

Solution

\frac{d}{d x} ((lo g_{10} (x))^{2})

Solution

\frac{2 lo g _{10} ( x )}{ln ( 10 ) x}

Solution steps

\frac{d}{d x} ((lo g_{10} (x))^{2})

Apply the chain rule:

2 lo g_{10} (x) \frac{d}{d x} (lo g_{10} (x))

= 2 lo g_{10} (x) \frac{d}{d x} (lo g_{10} (x))

\frac{d}{d x} (lo g_{10} (x)) = \frac{1}{x ln ( 10 )}

= 2 lo g_{10} (x) \frac{1}{x ln ( 10 )}

Simplify

2 lo g_{10} (x) \frac{1}{x ln ( 10 )} : \frac{2 lo g _{10} ( x )}{ln ( 10 ) x}

= \frac{2 lo g _{10} ( x )}{ln ( 10 ) x}

Popular Examples

derivative of arctan(sqrt(3x^2-1))

\frac{d}{d x} (arctan (3 x^{2} - 1))

y^{^{''}} + 3 y = 5

y^{''}+y= 1/(2k^2)(1+cos(2t))

y^{^{''}} + y = \frac{1}{2 k ^{2}} (1 + cos (2 t))

derivative of (x^5+1^4)

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

tangent of f(x)= 1/(sqrt(x)),\at x=81 tangent of

f (x) = \frac{1}{x}, at x = 81

Frequently Asked Questions (FAQ)

What is the derivative of (log_{10}(x)^2) ?
The derivative of (log_{10}(x)^2) is (2log_{10}(x))/(ln(10)x)
What is the first derivative of (log_{10}(x)^2) ?
The first derivative of (log_{10}(x)^2) is (2log_{10}(x))/(ln(10)x)