SOLUTION: E) Find the derivatives of each of the following functions
a) y = 4x3 + 24x + 4
b) f(x) = 6x6 – 3x4 + x3 -3x +9
c) y= -24t5/2 – 6t1/2
d) y=3x-7 +4x-5 -9x-4 + 21x-1
e) f(x
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-> SOLUTION: E) Find the derivatives of each of the following functions
a) y = 4x3 + 24x + 4
b) f(x) = 6x6 – 3x4 + x3 -3x +9
c) y= -24t5/2 – 6t1/2
d) y=3x-7 +4x-5 -9x-4 + 21x-1
e) f(x
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a) y = 4x3 + 24x + 4
y' = 12x^2 + 24
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The others are the same.
b) f(x) = 6x6 – 3x4 + x3 -3x +9
c) y= -24t5/2 – 6t1/2
d) y=3x-7 +4x-5 -9x-4 + 21x-1
e) f(x) = -8x-1/2 +8x-1/2 +12x It's not clear what the exponents are in this one.
Use ^ (Shift 6) for exponents, and parentheses to clarify.
eg, -8x^(-1/2) + 8x^(-1/2) + 12x might be what you meant. Might not.