Master Differential Calculus Problems with Our Experts

Find the four second partial derivatives. Observe that the second mixed partials are equal.
${\displaystyle z=e^x\tan y}$

Find all first partial derivatives. ${\displaystyle f(x,y)=5x^3+7y-3}$

Find both first partial derivatives. ${\displaystyle z=\sin (x+2y)}$

${\displaystyle f\left(x\right)=(8x-1)(x^2+4x+7)(x^3-5)}$
Find the derivatives.

Find all first partial derivatives of the following function.
${\displaystyle f(x,y)={(4x-y^2)}^{\frac{3}{2}}}$

Second derivatives Find $\frac{d^{2}y}{d{x}^2}$.
${\displaystyle x+y^2=1}$

Evaluate the following derivatives.
${\displaystyle \frac{d}{dx}{\int }_7^x\sqrt{1+t^4+t^6}dt}$

Evaluate the following derivatives.
${\displaystyle \frac{d}{dx}{\int }_{-x}^x\frac{dt}{t^{10}+1}}$

What is May payroll with an annual payroll of $341,550?

n analysis is performed of a company’s daily revenues, which are $2.54million, $0.87 million, $$$1.66 million, and so on. A. A boxplot could not be used to represent this data set. A pie chart could not be used to represent this data set. B. A boxplot could be used to represent this data set. A pie chart could not be used to represent this data set. C. A boxplot could not be used to represent this data set. A pie chart could be used to represent this data set. D. A boxplot could be used to represent this data set. A pie chart could be used to represent this data set.

In this question, the function f is differentiable, and f'(x) = g(x). We don't know exactly what f(x) or g(x) are, so your answers will have f(x) and g(x) in them.
Compute the derivatives of the following function.
${\displaystyle e^{\sin \left(f\left(x\right)\right)}}$

Find the derivatives of the functions ${\displaystyle f\left(t\right)=t^2-\frac{1}{t^2}+t-2}$

Find all first partial derivatives. ${\displaystyle z=\ln (x^2+y^2+1)}$

Derivatives of bx Find the derivatives of the following functions.
${\displaystyle y=5\cdot 4^x}$

Find the first partial derivatives of the following functions.
${\displaystyle f(x,y)=\frac{x^2}{x^2+y^2}}$

Find the first partial derivatives of the given functions with respect to each independent variable.
${\displaystyle f(x,y)={(2x-4)}^4}$

Find the first partial derivatives.
${\displaystyle z=x^5-7y}$

Evaluate the following derivatives. ${\displaystyle \frac{d}{dx}\left({(x+1)}^{2x}\right)}$

Find all first partial derivatives. ${\displaystyle f(x,y)=e^x\cos y}$

Evaluate the following derivatives.
${\displaystyle \frac{d}{dx}\left(x^{-\ln x}\right)}$