Dark mode

Differentiation of exponential and logarithmic functions — Question 201

Original QCE Vault practice · 1 mark

Q201 · Practice questionTechnology-freeSimple familiar1 mark

QUESTION 201

For

f(x)=x^{2} e^{x}, f'(x)

is

(A)

e^{x}(x+2)

(B)

e^{x}(x^{2}+2x)

(C)

x^{2}e^{x}

(D)

2xe^{x}

ABCD

Question linkSyllabus coverage

Related questions

Q1 · Original practice · 1 mark
If $f(x)=e^{2x}$ , then $f'(x)$ is
Differentiation of exponential and logarithmic functions
Q11 · Original practice · 1 mark
If $g(x)=\ln(3x^2+1)$ , then $g'(x)$ is
Differentiation of exponential and logarithmic functions
Q21 · Original practice · 1 mark
For $f(x)=x\ln x$ , determine the equation of the tangent at $x=e$ .
Differentiation of exponential and logarithmic functions
Q26 · Original practice · 2 marks
Let $f(x)=\ln(2x+1)$ . Determine $f'(x)$ and hence the gradient of the tangent at $x=2$ .
Differentiation of exponential and logarithmic functions