f(x) = 3x^2 - 2
f(t + 1) = 3t^2 + 6t + 1
:-
f (t + 1) = 3 ( t + 1 )² - 2
f (t + 1) = 3 (t² + 2t + 1) - 2
f (t + 1) = 3 t² + 6t + 1
// Are you looking for the antiderivative F(t+1) or are you looking for f(t+1) ???
// If you're looking for the ANTIDERAVITAVE
Given f(x) = 3x²-2, the antiderivative of f(x) is
.....F(x) = x³-2x+C
ans
.....F(t+1) = (t+1)³ - 2(t+1) + C
.....F(t+1) = t³+1+3t(t+1)+C...............ANS
// If you're simply looking for f(t+1),
f(t+1) = 3(t+1)² - 2
.........= 3t²+6t+3 - 2
.........= 3t²+6t+1............................ANS
Simply replace x by t+1 and calculate:
3(t+1)^2 -2
=> 3t^2 +6t + 3 -2
=> 3t^2 +6t + 1
=> 3t(t+2) + 1
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
f(x) = 3x^2 - 2
f(t + 1) = 3t^2 + 6t + 1
:-
f (t + 1) = 3 ( t + 1 )² - 2
f (t + 1) = 3 (t² + 2t + 1) - 2
f (t + 1) = 3 t² + 6t + 1
// Are you looking for the antiderivative F(t+1) or are you looking for f(t+1) ???
// If you're looking for the ANTIDERAVITAVE
Given f(x) = 3x²-2, the antiderivative of f(x) is
.....F(x) = x³-2x+C
ans
.....F(t+1) = (t+1)³ - 2(t+1) + C
.....F(t+1) = t³+1+3t(t+1)+C...............ANS
// If you're simply looking for f(t+1),
f(t+1) = 3(t+1)² - 2
.........= 3t²+6t+3 - 2
.........= 3t²+6t+1............................ANS
Simply replace x by t+1 and calculate:
3(t+1)^2 -2
=> 3t^2 +6t + 3 -2
=> 3t^2 +6t + 1
=> 3t(t+2) + 1