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St
Question 1
Calculate the derivative of y = f(x) = 3 x(4x + 7)
Your answer:



Sagot :

Answer:

[tex]\frac{dy}{dx} = 24 x + 21[/tex]

Step-by-step explanation:

Explanation:-

Given that the function

      y = f(x) = 3 x ( 4 x + 7)

     y  = 3 x ( 4 x + 7)  

    y = 12 x² + 21 x ..(i)

Differentiating equation (i) with respective to 'x' , we get

[tex]\frac{dy}{dx} = 12 (2x) +21 (1)[/tex]

[tex]\frac{dy}{dx} = 24 x + 21[/tex]