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Find the derivative of 30x² + 7x at x = 2.

Sagot :

Answer:

127

Step-by-step explanation:

Given :

  • 30x² + 7x

On differentiating,

  • dy/dx = 2 * 30 * x²⁻¹ + 1 * 7 * x¹⁻¹
  • dy/dx = 60x + 7

At x = 2

  • 60(2) + 7
  • 120 + 7
  • 127

First differentiate

  • d/dx(x^n)=nx^n-1

So

[tex]\\ \rm\Rrightarrow \dfrac{d}{dx}(30x^2+7x)[/tex]

[tex]\\ \rm\Rrightarrow 60x+7[/tex]

Put x=2

  • 60(2)+7
  • 120+7
  • 127