Solve 3x ^ 2 + 5x ^ 2 - 17x ^ 2 + 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

$$3x^{2}+5x^{2}-17x^{2}+10$$

Evaluate

$10-9x^{2}$

Differentiate w.r.t. x

$-18x$

Steps Using Derivative Rule for Sum

Combine $3x^{2}$ and $5x^{2}$ to get $8x^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(8x^{2}-17x^{2}+10)$$

Combine $8x^{2}$ and $-17x^{2}$ to get $-9x^{2}$.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-9x^{2}+10)$$

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 $nax^{n-1}$.

$$2\left(-9\right)x^{2-1}$$

Multiply $2$ times $-9$.

$$-18x^{2-1}$$

Subtract $1$ from $2$.

$$-18x^{1}$$

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

$$-18x$$