Solve (3)^(2)+5x-2 | Equatix - Math Solver

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Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$${ 3 }^{ 2 } +5x-2$$

Evaluate

$5x+7$

Differentiate w.r.t. x

$5$

Steps Using Derivative Rule for Sum

Calculate $3$ to the power of $2$ and get $9$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9+5x-2)$$

Subtract $2$ from $9$ to get $7$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7+5x)$$

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 $nax^{n-1}$.

$$5x^{1-1}$$

Subtract $1$ from $1$.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$