Question

Find the derivative for the problem below and show ur work

Answer 1

The derivative of the function is  $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$.

What is Derivative?

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given function:

y= (3x²+5x+1)$^{3/2}$

Differentiating and applying chain rule

= 3/2 * (3x²+5x+1)$^{1/2}$ d/dx (3x²+5x+1)

= 3/2 * (3x²+5x+1)$^{1/2}$  (6x+5)

= $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$

Hence, the value of derivative is  $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$

Learn more about derivative here:

brainly.com/question/124529

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