What is the derivative of (2+xsin(3x)^{10}) ?

The derivative of (2+xsin(3x)^{10}) is 10(2+xsin(3x))^9(3xcos(3x)+sin(3x))

What is the first derivative of (2+xsin(3x)^{10}) ?

The first derivative of (2+xsin(3x)^{10}) is 10(2+xsin(3x))^9(3xcos(3x)+sin(3x))

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\frac{d}{d x} ((2 + x sin (3 x))^{10})

10 (2 + x sin (3 x))^{9} (3 x cos (3 x) + sin (3 x))

Solution steps

\frac{d}{d x} ((2 + x sin (3 x))^{10})

Apply the chain rule:

10 (2 + x sin (3 x))^{9} \frac{d}{d x} (2 + x sin (3 x))

= 10 (2 + x sin (3 x))^{9} \frac{d}{d x} (2 + x sin (3 x))

\frac{d}{d x} (2 + x sin (3 x)) = 3 x cos (3 x) + sin (3 x)

= 10 (2 + x sin (3 x))^{9} (3 x cos (3 x) + sin (3 x))

\frac{d}{d x} ((sin^{2} (x) + 1)^{x})

4 t

\frac{d}{d x} (sin^{3} (3 x - 1))

e^{x}, 5

x \to 3 lim (\frac{∣ x - 1 ∣}{x - 1})

What is the derivative of (2+xsin(3x)^{10}) ?
The derivative of (2+xsin(3x)^{10}) is 10(2+xsin(3x))^9(3xcos(3x)+sin(3x))
What is the first derivative of (2+xsin(3x)^{10}) ?
The first derivative of (2+xsin(3x)^{10}) is 10(2+xsin(3x))^9(3xcos(3x)+sin(3x))