Solve 5 ^ 2 * x + 2x + 5 - 3x | 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

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

Evaluate

$24x+5$

Solution Steps

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

$$25x+2x+5-3x$$

Combine $25x$ and $2x$ to get $27x$.

$$27x+5-3x$$

Combine $27x$ and $-3x$ to get $24x$.

$$24x+5$$

Differentiate w.r.t. x

$24$

Steps Using Derivative Rule for Sum

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x+2x+5-3x)$$

Combine $25x$ and $2x$ to get $27x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(27x+5-3x)$$

Combine $27x$ and $-3x$ to get $24x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x+5)$$

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 $nax^{n-1}$.

$$24x^{1-1}$$

Subtract $1$ from $1$.

$$24x^{0}$$

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

$$24\times 1$$

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

$$24$$