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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$( 7 x - 4 x - 4 )$$

Differentiate w.r.t. x

$3$

Steps Using Derivative Rule for Sum

Combine $7x$ and $-4x$ to get $3x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-4)$$

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 $nax^{n-1}$.

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

Subtract $1$ from $1$.

$$3x^{0}$$

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

$$3\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$3$$

Evaluate

$3x-4$