Question

Find the derivatives of the following
wer.to.x by using method of first
principle,
1. x² + 3x-1
2. sin(3x)​

Answer 1

1) To find derivative,of

${x}^{2} + 3x - 1$

with respect to x

Solution:-Using the quotient rule of differenitaiation we get

$\frac{dy}{dx} = 2x - 3 + 0 = 2x - 3$

2)To find derivative of Sin(3x) with respect to x

$\frac{dy}{dx} = cos3x.3 \times 1 \\ \frac{dy}{dx} = 3cos3x$

{hope it helps}