Solve 3(x)^(2)+(5)^(2)1 | 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

$$3 { x }^{ 2 } + { 5 }^{ 2 } 1$$

Evaluate

$3x^{2}+25$

Differentiate w.r.t. x

$6x$

Steps Using Derivative Rule for Sum

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x^{2}+25\times 1)$$

Multiply $25$ and $1$ to get $25$.

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

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 $nax^{n-1}$.

$$2\times 3x^{2-1}$$

Multiply $2$ times $3$.

$$6x^{2-1}$$

Subtract $1$ from $2$.

$$6x^{1}$$

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

$$6x$$