Solve 16+40(x)^(2)+25(x)^(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

$$16+40 { x }^{ 2 } +25 { x }^{ 2 }$$

Differentiate w.r.t. x

$130x$

Steps Using Derivative Rule for Sum

Combine $40x^{2}$ and $25x^{2}$ to get $65x^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(16+65x^{2})$$

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 $nax^{n-1}$.

$$2\times 65x^{2-1}$$

Multiply $2$ times $65$.

$$130x^{2-1}$$

Subtract $1$ from $2$.

$$130x^{1}$$

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

$$130x$$

Evaluate

$65x^{2}+16$