Solve f(x)=2x+5x-10 | 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

$$f(x)=2x+5x-10$$

Differentiate w.r.t. x

$7$

Steps Using Derivative Rule for Sum

Combine $2x$ and $5x$ to get $7x$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(7x-10)$$

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 $nax^{n-1}$.

$$7x^{1-1}$$

Subtract $1$ from $1$.

$$7x^{0}$$

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

$$7\times 1$$

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

$$7$$

Evaluate

$7x-10$