Question

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

Answer 1

76

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

Answer 2

`\qquad\qquad\huge\underline{{\sf Answer}}♨`

Let's solve ~

`\qquad \sf  \dashrightarrow \: (d)/(dx)(76x + 1)`

`\qquad \sf  \dashrightarrow \:76 {x}^(1 - 1) + 0`

`\qquad \sf  \dashrightarrow \:76 {x}^(0) + 0`

`\qquad \sf  \dashrightarrow \:76`

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