Figure out the inflection point of the following function:
f(x)=5x³+ 2x² − 3x​

Step-by-step explanation:

to figure out the infection point

take derivative both sides:

By sum derivation rule we acquire:

apply exponent derivation rule which yields:

take derivative in both sides once again which yields:

remember that, derivative of a constant is always 0 so,

by exponent derivation rule we acquire:

substitute f''(x) to 0 figure out the x coordinate of the inflection point:

cancel 4 from both sides:

divide both sides by 30:

now plugin the value of x to the given function to figure out the y coordinate of the inflection point:

By simplifying we acquire:

hence,

the coordinates of inflection point are

d

step-by-step explanation:

d

3

step-by-step explanation: