F:f(x²+3)² is defined on the set R of real numbers. Find the gradient of f(x) at x = 2

The gradient of the function at x = 2 is 56

Step-by-step explanation:

f : f(x² + 3)²

df / dx = 4x(x² +3)

At x = 2

df / dx (= gradient) = 4 x 2 x (2² + 3)

= 8 x (7)

= 56

step-by-step explanation:

we can use this expression to calculate the energy gain as a particle moves with a field or the energy loss as it moves against it. (note that it is also used to define the electron-volt, a unit of energy equal to that gained by an electron as it falls through a pd of 1 v, i.e. w = 1 ev = 1.6 10-19 c 1 v = 1.6 10-19j).in fact this expression is really nothing more than the statement that potential is the potential energy per unit charge. in this case, v= w/qis simply stating that the change in potential energy(or work done) per unit charge is equal to the change in potential (or potential difference), v.student questions: uniform electric fields2electron beamcathode+5 kvanode0 v