What is the derivative of y=11^{tan(6x)} ?

The derivative of y=11^{tan(6x)} is e^{tan(6x)ln(11)}ln(11)sec^2(6x)*6

What is the first derivative of y=11^{tan(6x)} ?

The first derivative of y=11^{tan(6x)} is e^{tan(6x)ln(11)}ln(11)sec^2(6x)*6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 1 1^{t a n (6 x)}

e^{t a n (6 x) l n (11)} ln (11) sec^{2} (6 x) \cdot 6

Solution steps

\frac{d}{d x} (1 1^{t a n (6 x)})

Apply exponent rule:

a^{b} = e^{b l n (a)}

1 1^{t a n (6 x)} = e^{t a n (6 x) l n (11)}

= \frac{d}{d x} (e^{t a n (6 x) l n (11)})

Apply the chain rule:

e^{t a n (6 x) l n (11)} \frac{d}{d x} (tan (6 x) ln (11))

= e^{t a n (6 x) l n (11)} \frac{d}{d x} (tan (6 x) ln (11))

\frac{d}{d x} (tan (6 x) ln (11)) = ln (11) sec^{2} (6 x) \cdot 6

= e^{t a n (6 x) l n (11)} ln (11) sec^{2} (6 x) \cdot 6

\int \frac{4 x ^{2} - 6 x + 3}{x} d x

\int \frac{3 x ^{3} + 3 x ^{2} + 2}{x ^{3} + x} d x

\frac{d}{d x} (tan (x) - cot (x))

\int \frac{4}{sin ^{2} ( x )} d x

\frac{d}{d x} ((x - 3) x)

What is the derivative of y=11^{tan(6x)} ?
The derivative of y=11^{tan(6x)} is e^{tan(6x)ln(11)}ln(11)sec^2(6x)*6
What is the first derivative of y=11^{tan(6x)} ?
The first derivative of y=11^{tan(6x)} is e^{tan(6x)ln(11)}ln(11)sec^2(6x)*6