Question

Find f.

f ''(x) = 4 − 12x, f(0) = 6, f(2) = 10

Answer 1

Step 1)

we can write,

Hence,

     -----------------------------------------1)

we can write,

Step 2)

we have,

     ----------------------------------------------2)

we have f(0) = 6 hence put x = 0 and f(0) = 6 in equation 2)

we have f(2) = 10 hence put x = 2 and f(2) = 10 in equation 2)

we have D = 6 hence,

Put C = 6 and D = 6 in equation 2) we can write,

we can also write,