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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$2 x - 75 x - 9$$

Differentiate w.r.t. x

$-73$

Steps Using Derivative Rule for Sum

Combine $2x$ and $-75x$ to get $-73x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-73x-9)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$-73x^{1-1}$$

Subtract $1$ from $1$.

$$-73x^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$-73$$

Evaluate

$-73x-9$