Question

determine the fourth derivative of given function ​

Answer 1

Answer:

h''''(t)=2520 t³-144

Step-by-step explanation:

h(t)=3t⁷-6t⁴+8t³-12t+18

h'(t)=3x7t⁶ - 6x4t³ + 8x3t² -12x1 = 21 t⁶-24 t³+24 t²-12

h''(t)=21x6t⁵-24x3t²+24x2t = 126t⁵-72t²+48t

h'''(t)=126x5t⁴-72x2t+48x1 = 630 t⁴-144 t+48

h''''(t)=630x4t³-144x1 = 2520 t³-144

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