Answered

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Find the derivative of 76x + 1 at x = 1.

Sagot :

Answer:

76

Step-by-step explanation:

We know the rule when finding the derivative :

  • dy/dx = nxⁿ⁻¹

Deriving

  • dy/dx = 76x + 1
  • dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹
  • dy/dx = 76
  • The x = 1 becomes irrelevant because there is no 'x' present in the derivative
DᴀʀᴋPᴀʀᴀᴅᴏx

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76 {x}^{0} + 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:76[/tex]

Here, we have got a constant number, therefore for any value of x it will be 76

Therefore, derivative of 76x + 1 at x = 1 is 76

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