Solve (5)^(2)(x3)+9-5 | 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

$${ 5 }^{ 2 } (x3)+9-5$$

Evaluate

$25x_{3}+4$

Differentiate w.r.t. x_3

$25$

Steps Using Derivative Rule for Sum

Calculate $5$ to the power of $2$ and get $25$.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(25x_{3}+9-5)$$

Subtract $5$ from $9$ to get $4$.

$$\frac{\mathrm{d}}{\mathrm{d}x_{3}}(25x_{3}+4)$$

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 $nax^{n-1}$.

$$25x_{3}^{1-1}$$

Subtract $1$ from $1$.

$$25x_{3}^{0}$$

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

$$25\times 1$$

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

$$25$$