Mister Exam

Derivative of 9x+5

Find the derivative of f(x) = 9x + 5 at x = 7.
Can someone please show me a simple way to do this o_O

The derivative of a variable raised to exponent of n, x^n is equal to the product of n and x raised to exponent of n-1.
d(x^n) = (n)(x^n-1)

So, from the given

d(9x + 5) = (1)(9x^1-0) + 5(0)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
9*x + 5
$$9 x + 5$$
9*x + 5
Detail solution
  1. Differentiate term by term:

    1. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: goes to

      So, the result is:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The graph
The first derivative [src]
9
$$9$$
The second derivative [src]
0
$$0$$
3-я производная [src]
0
$$0$$
The third derivative [src]
0
$$0$$