Exponential

Find the first derivative of G(x) = √x - 2e^x

• 1/(2√x) - 2e^x

• 0.5√x - 2e^x

• 0.5√x - 2

• 1/(2√x) - 2

Find the first derivative of f(x) = (x³ + 2x)e^x

• e^x(x³ + 3x² + 2x + 2)

• e^x(3x² + 2) - e^x(x³ + 2x)

• e^x(3x² - 2) + e^x(x³ - 2x)

• e^x(3x² + 2) + (x³ + 2x)

Find the first derivative of y = e^x/x²

• e^x(x - 2)/x³

• (e^xx + 2e^x)/x³

• e^x(1/x² + 2/x³)

• xe^x(x - 2)/x⁴

Find the first derivative of y = (r² - 2r)e^r

• e^r(r² - 2)

• e^r(r² - 2r) - e^r(2r - 2)

• e^r(r² - 2r)

• e^r(r² + 2r) + e^r(2r + 2)

Find the first derivative of f(x) = x⁴e^x

• e^x(4x³ + x⁴)

• 4x³

• 4e^xx³

• 4e^xx

Find the second derivative of f(x) = x⁴e^x (differentiate twice)

• e^x(x⁴ + 8x³ + 12x²)

• e^x(x⁴ + 4x³ + 12x²)

• e^x(x⁴ + 12x²)

• e^xx²(x² + 12)

Find the first derivative of h(x) = cscx + e^xcotx

• h'(x) = -cscxcotx + e^x(cotx - csc²x)

• h'(x) = cscxcotx + e^x(cotx + csc²x)

• h'(x) = -cscxcotx + e^x(cotx + csc²x)

• h'(x) = cscxcotx + e^x(cotx - csc²x)

Find the first derivative of y = 5e^x + 3

• y' = 5e^x

• y' = 5

• e^x

• e^x + 3

Find the first derivative of f(x) = e^x - 5x

• f'(x) = e^x - 5

• f(x) = e^x

• f'(x) = e^x - 5x

• f'(x) = e^x

Find the first derivative of G(x) = √xe^x

• e^x(1/(2√x) + √x)

• e^x(1/(2√x) - √x)

• 1/(2√x) + √x

• e^x/(2√x) - e^x√x