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Find f '(x) for f of x equals the square root of the quantity sine of 8 times x.

f prime of x equals the quotient of the cosine of 8 times x and 2 times the square root of the quantity sine of 8 times x

f prime of x equals the quotient of 4 times the cosine of 8 times x and the square root of the quantity sine of 8 times x

f prime of x equals the quotient of 4 and the square root of the quantity sine of 8 times x

f'(x) = sin(4x)

See attached for problem and answers.

Find f x for f of x equals the square root of the quantity sine of 8 times x f prime of x equals the quotient of the cosine of 8 times x and 2 times the square class=

Respuesta :

apologiabiology
rememer the chain rule
and that squaer roots are just to the 1/2 power

so
dy/dx (sin(8x))^1/2=
(1/2)sin(8x)^(-1/2) dy/dx sin(8x)=
1/(2√sin(8x)) cos(8x) times dy/dx 8x=
(cos(8x))/(2√sin(8x)) times 8=
(8cos(8x))/(2√sin(8x))=
(4cos(8x))/(√sin(8x))
2nd one

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