What is the derivative of tan(log_{10}(x^2)) ?

The derivative of tan(log_{10}(x^2)) is (2sec^2(log_{10}(x^2)))/(ln(10)x)

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

The first derivative of tan(log_{10}(x^2)) is (2sec^2(log_{10}(x^2)))/(ln(10)x)

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derivative of

tan (lo g_{10} (x^{2}))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

- 3 sin^{3} (x)

sin (m^{2}) x

\frac{1}{( s + 3 ) ^{2}}

2 x^{3} - 24 x^{1} - 35

4 x^{3} + 5

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