Solve 10(x)^(10)+5x+6x+3 | 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

$$10 { x }^{ 10 } +5x+6x+3$$

Differentiate w.r.t. x

$100x^{9}+11$

Steps Using Derivative Rule for Sum

Combine $5x$ and $6x$ to get $11x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x^{10}+11x+3)$$

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 $nax^{n-1}$.

$$10\times 10x^{10-1}+11x^{1-1}$$

Multiply $10$ times $10$.

$$100x^{10-1}+11x^{1-1}$$

Subtract $1$ from $10$.

$$100x^{9}+11x^{1-1}$$

Subtract $1$ from $1$.

$$100x^{9}+11x^{0}$$

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

$$100x^{9}+11\times 1$$

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

$$100x^{9}+11$$

Evaluate

$10x^{10}+11x+3$