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. Diberi fungsi h(x) = kx³- 4x² - 5x, cari
Given function h(x) = kx³- 4x² - 5x, find
a) h'(x), dalam sebutan k,
h'(x), in term of k
b) nilai k jika h' (1) = 8
the value of k if h' (1) = 8



Answer :

GinnyAnswer
Sure! Here's a step-by-step guide to find the requested values: a) To find h'(x), we need to differentiate the function h(x) = kx³ - 4x² - 5x with respect to x. The derivative of a function is found by applying the power rule. So, h'(x) = 3kx² - 8x - 5. b) Next, we are given that h'(1) = 8. To find the value of k, we substitute x = 1 into the derivative function h'(x) and set it equal to 8: 3k(1)² - 8(1) - 5 = 8 3k - 8 - 5 = 8 3k - 13 = 8 3k = 21 k = 7 Therefore, the value of k is 7 when h'(1) = 8.

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