Differentiate y = x2 + cos x - sin x.

April 24, 2026Mathematics

ScanSolve AI Answer

April 24, 2026

Answer

2x - \sin x - \cos x

Here is the differentiation for the question:

$y = x^2 + \cos x - \sin x$ Step 1: Differentiate each term using the power rule and the derivatives of $\cos x$ and $\sin x$ . $\frac{dy}{dx} = \frac{d}{dx}(x^2) + \frac{d}{dx}(\cos x) - \frac{d}{dx}(\sin x)$ $\frac{dy}{dx} = 2x + (-\sin x) - (\cos x)$ $\frac{dy}{dx} = 2x - \sin x - \cos x$ The derivative is $\boxed{2x - \sin x - \cos x}$ .

3 done, 2 left today. You're making progress.

Was this helpful?

Need help with your own homework?

Get instant step-by-step solutions to any question. Free to start.

Ask Your Question

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp

More Mathematics Questions

QFor the points P(-2, 1, 3) and Q(3, 5, -1), in terms of i, j and k, if required, find a) PQ, b) |PQ|…QFor the points P(-2, 1) and Q(3, 5), in terms of i and j find: a) PQ, b) |PQ|, c) PQ QFor each of the following vectors, find: a) The magnitude of the vector, b) The unit vector in the d…QLook at the shapes below. Write down the letters of the shapes that have: a only curved sides b only…QFind the sum of the vectors 3i + 7j and 2i – 2j. If the position vectors of P and Q are i + 3j and 5…

See all Mathematics questions →

Still have questions?

Quick Answer

10. y = x^2 + x - x Step 1: Differentiate each term using the power rule and the derivatives of x and x.

Asked on April 24, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 24, 2026

Here is the differentiation for the question: 10. y = x^2 + x - x Step 1: Differentiate each term using the power rule and the derivatives of x and x. (dy)/(dx) = (d)/(dx)(x^2) + (d)/(dx)( x) - (d)/(dx)( x) (dy)/(dx) = 2x + (- x) - ( x) (dy)/(dx) = 2x - x - x The derivative is 2x - x - x. 3 done, 2 left today. You're making progress.