Maths~derivative question?

2016-04-15 4:13 pm
Pls help,...i know how to find firt and second derivative but dont know how to apply 1 and 0 in this question..

f(x)=x^4+x^3-square root(x)

Find :
f'(1)

f"(0)

回答 (2)

2016-04-15 4:54 pm
✔ 最佳答案
f(x) = x⁴ + x³ - √x
f'(x) = 4x³ + 3x² - 1/(2√x)
f"(x) = 12x² + 6x + 1/(4x√x)

f'(1) = 4(1)³ + 3(1)² - 1/[2√(1)] = 13/2

If x = 0, 1/(4x√x) does not exist.
f"(0) does not exist
2016-04-17 10:56 am
f(x) = x⁴ + x³ - √x
f'(x) = 4x³ + 3x² - 1/(2√x)
f"(x) = 12x² + 6x + 1/(4x√x)

f'(1) = 4(1)³ + 3(1)² - 1/[2√(1)] = 13/2

If x = 0, 1/(4x√x) does not exist.
f"(0) does not exist


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