Answer :
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
[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