What is the derivative of 10^{tan(pix}) ?

The derivative of 10^{tan(pix}) is piln(10)*10^{tan(pix)}sec^2(pix)

What is the first derivative of 10^{tan(pix}) ?

The first derivative of 10^{tan(pix}) is piln(10)*10^{tan(pix)}sec^2(pix)

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\frac{d}{d x} (1 0^{t a n (π x)})

π ln (10) \cdot 1 0^{t a n (π x)} sec^{2} (π x)

Solution steps

\frac{d}{d x} (1 0^{t a n (π x)})

Apply exponent rule:

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

1 0^{t a n (π x)} = e^{t a n (π x) l n (10)}

= \frac{d}{d x} (e^{t a n (π x) l n (10)})

Apply the chain rule:

e^{t a n (π x) l n (10)} \frac{d}{d x} (tan (π x) ln (10))

= e^{t a n (π x) l n (10)} \frac{d}{d x} (tan (π x) ln (10))

\frac{d}{d x} (tan (π x) ln (10)) = ln (10) sec^{2} (π x) π

= e^{t a n (π x) l n (10)} ln (10) sec^{2} (π x) π

e^{t a n (π x) l n (10)} = 1 0^{t a n (π x)}

= π ln (10) \cdot 1 0^{t a n (π x)} sec^{2} (π x)

\frac{d}{d x} (3 \cdot cos (x))

x \to \frac{1}{2} lim (x sec (π x))

\frac{d}{d x} (\frac{3 x ^{2}}{2})

\frac{\partial}{\partial x} (4 e^{x})

x \to - 4 + lim (∣ 5 x + 10 ∣)

What is the derivative of 10^{tan(pix}) ?
The derivative of 10^{tan(pix}) is piln(10)*10^{tan(pix)}sec^2(pix)
What is the first derivative of 10^{tan(pix}) ?
The first derivative of 10^{tan(pix}) is piln(10)*10^{tan(pix)}sec^2(pix)