The derivative of a function can be found using the power rule, which states that the derivative of x^n, where n is any real number, is n*x^(n-1).

For the function f(x) = 8x - 34, we have two terms: 8x and -34.

(i) For the first term, 8x, the power of x is 1. So, applying the power rule, we get 1*8*x^(1-1) = 8.

(ii) For the second term, -34, this is a constant. The derivative of a constant is always 0.

So, the derivative of the function f(x) = 8x - 34 is 8 - 0 = 8.

Question

The derivative of a function can be found using the power rule, which states that the derivative of x^n, where n is any real number, is n*x^(n-1).

For the function f(x) = 8x - 34, we have two terms: 8x and -34.

(i) For the first term, 8x, the power of x is 1. So, applying the power rule, we get 1*8*x^(1-1) = 8.

(ii) For the second term, -34, this is a constant. The derivative of a constant is always 0.

So, the derivative of the function f(x) = 8x - 34 is 8 - 0 = 8.

Knowee AI · Accepted Answer

The derivative of a function can be found using the power rule, which states that the derivative of x^n, where n is any real number, is n*x^(n-1).

For the function f(x) = 8x - 34, we have two terms: 8x and -34.

(i) For the first term, 8x, the power of x is 1. So, applying the power rule, we get 1*8*x^(1-1) = 8.

(ii) For the second term, -34, this is a constant. The derivative of a constant is always 0.

So, the derivative of the function f(x) = 8x - 34 is 8 - 0 = 8.

Differentiate the following functions w.r.t. 𝒙.(i) 8𝑥−34