Solve 1+4x\times1+4x | 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

$$1+4x \times 1+4x$$

Evaluate

$8x+1$

Differentiate w.r.t. x

$8$

Steps Using Derivative Rule for Sum

Multiply $4$ and $1$ to get $4$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1+4x+4x)$$

Combine $4x$ and $4x$ to get $8x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(1+8x)$$

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 $nax^{n-1}$.

$$8x^{1-1}$$

Subtract $1$ from $1$.

$$8x^{0}$$

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

$$8\times 1$$

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

$$8$$