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1. Derivatives vs. Antiderivatives: A Calculus Showdown Flashcards | StudBud

Explore/1. Derivatives vs. Antiderivatives: A Calculus Showdown

1. Derivatives vs. Antiderivatives: A Calculus Showdown

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Questions 5

Answers

1
What is the slope of the tangent line to the curve y = ×²+2× at × = 1?
The derivative is 2× + 2; at ×=1, the Slope is 4
f(×) = 60×² +9× - 8
×³ - 6×² +1
F(×) =×³-6×² +1
2
Find the derivative of g(×)= sin(2×)
2cos(2×)
2(1) = 2
Cos 3(0) =cos0 = 1
Sin2(0)=sin0=0
3
What is the derivative of f(×) =×³ -4×²+7×-12?
3×²-8× +7
4³-6(4)² +1
×³ - 6×² +1
64-96+1
4
If h(×) = e^(3×) what is h'(×)
3×² - 4×
F'(×) = 3×² - 12×
3e^(3×)
0³ - 6 (0)² + 1
5
Find the derivative of the function f(×) = (×² + 1)(×-3)
6× -12×
3×²-6× +1
3× = 0 ;× = 0
3×² - 12×