Find the derivative of the given function.
f(x) = (x^1/4 + 11) (7 x^1/2+ 3)
2 answers:
Answer:
Step-by-step explanation:
Answer:
21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.
Step-by-step explanation:
Use the product rule;
d(uv) = udv/dx + v du/dx
u = x^1/4 + 11 and v = 7x^1/2+ 3.
f'(x) = (x^1/4 + 11)(7/2x^-1/2 + (7 x^1/2+ 3)1/4x^-3/4.
= 7/2x^-1/4 + 77/2x^-1/2 + 7/4x^-1/4 + 3/4x^-3/4
= 21/4 x^-1/4 + 77/2 x^-1/2 + 3/4 x^-3/4.
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Step-by-step explanation:
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