What is the (xtan(x))^' ?

The (xtan(x))^' is tan(x)+xsec^2(x)

What is the first (xtan(x))^' ?

The first (xtan(x))^' is tan(x)+xsec^2(x)

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(x tan (x))^{^{'}}

tan (x) + x sec^{2} (x)

Solution steps

(x tan (x))^{'}

Apply the Product Rule:

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

f = x, g = tan (x)

= x^{^{'}} tan (x) + (tan (x))^{^{'}} x

x^{'} = 1

(tan (x))^{'} = sec^{2} (x)

= 1 \cdot tan (x) + sec^{2} (x) x

Simplify

= tan (x) + x sec^{2} (x)

\int \frac{- 5}{12 - 12 x ^{2}} d x

\frac{d}{d x} (π^{e})

h \to 0 lim (2 x + h)

x \to 0 lim (\frac{3 ^{x} - 4 ^{x}}{x})

n = 17 \sum \infty \frac{n + 8}{n !}