What is the derivative of 2xlog_{7}(sqrt(x)) ?

The derivative of 2xlog_{7}(sqrt(x)) is 2log_{7}(sqrt(x))+1/(ln(7))

What is the first derivative of 2xlog_{7}(sqrt(x)) ?

The first derivative of 2xlog_{7}(sqrt(x)) is 2log_{7}(sqrt(x))+1/(ln(7))

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derivative of

2 x lo g_{7} (x)

2 lo g_{7} (x) + \frac{1}{ln ( 7 )}

Solution steps

\frac{d}{d x} (2 x lo g_{7} (x))

Take the constant out:

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

= 2 \frac{d}{d x} (x lo g_{7} (x))

Apply the Product Rule:

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

f = x, g = lo g_{7} (x)

= 2 (\frac{d x}{d x} lo g_{7} (x) + \frac{d}{d x} (lo g_{7} (x)) x)

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

\frac{d}{d x} (lo g_{7} (x)) = \frac{1}{2 ln ( 7 ) x}

= 2 (1 \cdot lo g_{7} (x) + \frac{1}{2 ln ( 7 ) x} x)

Simplify

2 (1 \cdot lo g_{7} (x) + \frac{1}{2 ln ( 7 ) x} x) : 2 lo g_{7} (x) + \frac{1}{ln ( 7 )}

= 2 lo g_{7} (x) + \frac{1}{ln ( 7 )}

x \to 3 lim (12)

\int \frac{x ^{2}}{( 64 + x ^{2} ) ^{2}} d x

(5 x y^{2} - 3) d x + (5 x^{2} y + 4) d y = 0

(x, y) \to (0, 0) lim (x^{3} y)

\frac{3}{12} x^{4} + \frac{2}{6} x^{3} - x^{2} + 1

What is the derivative of 2xlog_{7}(sqrt(x)) ?
The derivative of 2xlog_{7}(sqrt(x)) is 2log_{7}(sqrt(x))+1/(ln(7))
What is the first derivative of 2xlog_{7}(sqrt(x)) ?
The first derivative of 2xlog_{7}(sqrt(x)) is 2log_{7}(sqrt(x))+1/(ln(7))