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  4. If f(x)=x4-x3+7 x2+14, then what is the value of f'(5) ?

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Q. If $f(x)=x^{4}-x^{3}+7 x^{2}+14$, then what is the value of $f'(5)$ ?

AP EAMCETAP EAMCET 2020

Solution:

Since, $f(x)=x^{4}-x^{3}+7 x^{2}+14$
Then, $f'(x)=4 x^{3}-3 x^{2}+14 x$
$\therefore f'(5)=500-75+70=495$