Derivatives Quiz 1

This is the Multiple Choice Questions Test in Differential Calculus (Limits and Derivatives) a topic in Business Mathematics. Let us start with Derivatives Quiz.

The questions are designed to help and gain a deep understanding of the concept related to derivatives.

Derivatives Quiz with Answers

• The derivative of a constant number is always
• If $y=f(x)=\ln x$, then its $\frac{dy}{dx}$ will be _
• The gradient of the curve $y=2x^3 – 5x^2 – 3x$ at $x=0$ is
• Find $\frac{dy}{dx}$ where $y=e^0$?
• If $f(x) = \ln(a+b)$ then $f'(x)=$?
• $\frac{d}{dx} \, \sqrt{x}=$?
• If $y=ax^2+bx + c$ then $\frac{dy}{dx}=$?
• The derivative of $x^{-\frac{1}{2}}$ is
• $\frac{d}{dx}\, e^{2x}=$?
• If $ y=\frac{x-1}{x+1}$ then $\frac{dy}{dx}=$?
• If $y=\frac{1-x^2}{1+x^2}$ then $\frac{dy}{dx}=$?
• If $y=e^{2x}(e^x+e^{-x})$ then $\frac{dy}{dx}=$?
• $\frac{d}{dx} e^{-x}=$?
• If $y=e^{x^2}$ then $\frac{dy}{dx}=$?
• If $f(x)=\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)^2$ then $f'(x)=$?
• $\frac{d}{dx}\, \ln \left(x+\frac{1}{x}\right)=$?
• Derivative of $x^2$ with respect to $e^x$ is
• If $f(x)=(\sqrt{x}+1)(\sqrt{x}-1)$ then $f'(x)=$?
• If $y=(\sqrt[n]{x})^0$ then $\frac{dy}{dx}=$?
• The gradient of the curve $4x^3-7x^2+15$ at $x=0$ is

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