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If f(x)=x4 f(x) = x^ {4} f(x)=x4, what is the value of f′(1) f'(1) f′(1)?
If f(x)=x3−2x2+3x+15 f(x) = x^3 - 2x^2 + 3x +15 f(x)=x3−2x2+3x+15 what is f′(14) f'(14) f′(14)?
f(x)f(x) f(x) is a quadratic function of the form f(x)=ax2+bx+cf(x) = ax^2 + bx + cf(x)=ax2+bx+c, satisfying f(5)=94f(5) = 94f(5)=94 and f’(x)=6x+3f’(x) = 6x + 3f’(x)=6x+3, what is the value of a+b+ca+b+ca+b+c?
Details and assumptions
f’(x)f’(x)f’(x) denotes the derivative of f(x)f(x)f(x).
If f(x)=4x2−12x+21f(x)=4x^2-12x+21f(x)=4x2−12x+21, what is the value of f′(14)f'(14)f′(14)?
If f(x)=x3−4x2+6x+18,f(x)=x^3-4x^2+6x+18,f(x)=x3−4x2+6x+18, what is f′(x)?f'(x)?f′(x)?
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