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lesya692 [45]
3 years ago
7

If f(x) = (5x^3 − 4)^4, then what is f '(x)?

Mathematics
2 answers:
Montano1993 [528]3 years ago
7 0

If f(x) = (5x^3 − 4)^4

derivative of the outer * derivative of the inner

f'(x) = 4 (5x^3 -4) ^3 *3 (5x^2)

        = 4 (5x^3 -4) ^3 * (15x^2)

       =4*3*5 x^2 (5x^3 -4) ^3

      =60 x^2 *(5x^3 -4) ^3

Choice C


Mariana [72]3 years ago
4 0

f(x) = (5x^3 − 4)^4

f'(x) = 4(5x^3 - 4)d(5x^3 -4)/dx

= 4(5x^3 - 4)(5*3x^2)

= 4(5x^3 - 4)(15x^2)


so ans is c.



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