Calculus

# Derivatives of Polynomials

If $f(x) = x^ {4}$, what is the value of $f'(1)$?

If $f(x) = x^3 - 2x^2 + 3x +15$ what is $f'(14)$?

$f(x)$ is a quadratic function of the form $f(x) = ax^2 + bx + c$, satisfying $f(5) = 94$ and $f’(x) = 6x + 3$, what is the value of $a+b+c$?

Details and assumptions

$f’(x)$ denotes the derivative of $f(x)$.

If $f(x)=4x^2-12x+21$, what is the value of $f'(14)$?

If $f(x)=x^3-4x^2+6x+18,$ what is $f'(x)?$

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