Question

If $f\left(x\right)=3x^2+5x-7$, then the value of $f\text{'}\left(0\right)+3f\text{'}(-1)$ is

Answer 1

$\mathrm{Given},f\left(x\right)=3x^2+5x-7\mathrm{Therefore},f\text{'}\left(x\right)=6x+5\mathrm{Now},f\text{'}\left(0\right)=6\left(0\right)+5=5f\text{'}\left(-1\right)=6\left(-1\right)+5=-1\Rightarrow f\text{'}\left(0\right)+3f\text{'}\left(-1\right)=5+3\left(-1\right)\Rightarrow f\text{'}\left(0\right)+3f\text{'}\left(-1\right)=2$