Calculus

What is the derivative of x2x^2×2?
Answer: 2x

What is the integral of xxx?
Answer: x22+C\frac{x^2}{2} + C2x2​+C

Find the derivative of sin⁡(x)\sin(x)sin(x).
Answer: cos⁡(x)\cos(x)cos(x)

What is the integral of cos⁡(x)\cos(x)cos(x)?
Answer: sin⁡(x)+C\sin(x) + Csin(x)+C

What is the derivative of exe^xex?
Answer: exe^xex

What is the derivative of ln⁡(x)\ln(x)ln(x)?
Answer: 1x\frac{1}{x}x1​

Find the derivative of 3×2+2x+13x^2 + 2x + 13×2+2x+1.
Answer: 6x+26x + 26x+2

What is the integral of 2x2x2x?
Answer: x2+Cx^2 + Cx2+C

What is the second derivative of x3x^3×3?
Answer: 6x6x6x

Find the derivative of tan⁡(x)\tan(x)tan(x).
Answer: sec⁡2(x)\sec^2(x)sec2(x)

What is the derivative of cos⁡(x)\cos(x)cos(x)?
Answer: −sin⁡(x)-\sin(x)−sin(x)

Find the integral of x2x^2×2.
Answer: x33+C\frac{x^3}{3} + C3x3​+C

What is the derivative of 1x\frac{1}{x}x1​?
Answer: −1×2-\frac{1}{x^2}−x21​

Find the integral of exe^xex.
Answer: ex+Ce^x + Cex+C

What is the derivative of ln⁡(x2)\ln(x^2)ln(x2)?
Answer: 2x\frac{2}{x}x2​