Question

Compute for the derivative of the function below for x = 1. y=5x−5+37x−14−12x3

Answer 1

The Answer is $6$

Step-by-step explanation:

Given,

Compute for the derivative of the function below for $x = 1$$y=5x-5+37x-14-12x^{3}$

∴ $y=42x-19-12x^{3}$

Differentiate the above equation with respect to $x$,

⇒$\frac{dy}{dx}=\frac{d}{dx}(42x-19-12x^{3})$

⇒$\frac{dy}{dx}=\frac{d}{dx}(42x)-\frac{d}{dx}(19)-\frac{d}{dx}(12x^{3})$

⇒$\frac{dy}{dx}=42-0-(12\times 3)x^{2}$

⇒$\frac{dy}{dx}=42-36x^{2}$

For $x = 1$,

⇒$\frac{dy}{dx}=42-36(1)^{2}$

⇒$\frac{dy}{dx}=42-36$

∴ $\frac{dy}{dx}=6$

Hence, The Answer is $6$