Solve - 4x + 11x + 35x - 38x = | 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

$$-4x+11x+35x-38x=$$

Evaluate

$4x$

Solution Steps

Combine $-4x$ and $11x$ to get $7x$.

$$7x+35x-38x$$

Combine $7x$ and $35x$ to get $42x$.

$$42x-38x$$

Combine $42x$ and $-38x$ to get $4x$.

$$4x$$

Differentiate w.r.t. x

$4$

Steps Using Definition of a Derivative

Combine $-4x$ and $11x$ to get $7x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x+35x-38x)$$

Combine $7x$ and $35x$ to get $42x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(42x-38x)$$

Combine $42x$ and $-38x$ to get $4x$.

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

The derivative of $ax^{n}$ is $nax^{n-1}$.

$$4x^{1-1}$$

Subtract $1$ from $1$.

$$4x^{0}$$

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

$$4\times 1$$

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

$$4$$