Question

Differentiate the function with respect to x. Shot steps

Answer 1

The value after differentiate will be;

⇒ $\frac{dy}{dx} = 3x^2 3^{x^{3} } log_{e} 3$

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The function is,

⇒ $y = 3^{x^{3} }$

Now,

Differentiate the function with respect to x as;

The function is,

⇒ $y = 3^{x^{3} }$

⇒ $\frac{dy}{dx} = 3^{x^{3} } log_{e} 3 \frac{d}{dx} (x^3)$

⇒ $\frac{dy}{dx} = 3^{x^{3} } log_{e} 3 * 3x^2$

⇒ $\frac{dy}{dx} = 3x^2 3^{x^{3} } log_{e} 3$

Thus, The value after differentiate will be;

⇒ $\frac{dy}{dx} = 3x^2 3^{x^{3} } log_{e} 3$

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