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Recent questions in Differential Calculus

Jace Wright 2022-05-13

With $f (x) = \sqrt[3]{2 x + 7}$ and $g (x) = \tan (\frac{π x}{6})$ , find the derivative of the compostion f(g(x)).

Yaritza Oneill 2022-05-13

Find the derivative of $\sqrt{5 + 4 \cos (\frac{π x}{5})}$ .

mars6svhym 2022-05-13

With $f (x) = \ln (5 x + 7)$ and $g (x) = \cos (\frac{π x}{5})$ , find the derivative of the compostion f(g(x)).

Aedan Tyler 2022-05-13

Find the derivative of $\ln (2 + \sqrt{3 + 6 x})$ .

Annabel Sullivan 2022-05-13

Given the functions $f (x) = \cos (\frac{π x}{4})$ and $g (x) = 2 x^{3} + 6 x + 6$ , compute the derivative of $\frac{f (x)}{g (x)}$ .

ureji1c8r1 2022-05-13

Find the derivative of $\frac{2 + 3 x + x^{2} + 4 x^{3} + 2 x^{4}}{e^{6 + 2 x} }$ .

Peia6tvsr 2022-05-13

Find the derivative of $\frac{e^{6 + x}}{\cos (\frac{π x}{3})}$ .

William Santiago 2022-05-13

Given the functions $f (x) = 7 x^{3} + 3 x^{2} + 2 x + 7$ and $g (x) = 7 x^{2} + 4$ , compute the derivative of $\frac{f (x)}{g (x)}$ .

kazue72949lard 2022-05-13

Find the derivative of $\frac{1 + 6 x^{3}}{5 + 4 x + 6 x^{2} + 7 x^{5}}$ .

lifretatox8n 2022-05-13

If $f (x) = 3 x^{2} + x + 2$ and $g (x) = \sqrt[3]{x + 4}$ , what is the derivative (f*g)'(x)?

Kevin Snyder 2022-05-13

With $f (x) = \ln (3 x + 7)$ and $g (x) = \sqrt{3 x + 4}$ , find the derivative of the product (f*g)(x).

Autumn Pham 2022-05-13

With $f (x) = 6 x^{2} + x + 6$ and $g (x) = 7 x^{3} + 5 x^{2} + 3 x + 7$ , find the derivative of the product (f*g)(x).

Merati4tmjn 2022-05-13

Find the derivative of (f*g)(x), where $f (x) = \ln (7 x + 3)$ and $g (x) = x^{4} + x^{3} + x^{2} + 2 x + 6$ .

Nubydayclellaumvcd 2022-05-13

If $f (x) = x^{2}$ and $g (x) = x \sin (x) + \cos (x)$ then i have to find number of points(x) such that f(x)=g(x)
I write h(x)=f(x)−g(x). So $h (x) = x^{2} - x \sin (x) - \cos (x)$
$h^{'} (x) = x (2 - \cos (x))$ . Since $2 - \cos x$ is bounded so By taking limits as x goes to plus and minus infinity h′(x) goes to plus and minus infinity.which means h has root in between.

Suppose you are climbing a hill whose shape is given by the equation , where , , and are measured in meters, and you are standing at a point with coordinates . The positive -axis points east and the positive -axis points north. (a) If you walk due south, will you start to ascend or descend? At what rate? (b) If you walk northwest, will you start to ascend or descend? At what rate? (c) In which direction is the slope largest? What is the rate of ascent in that direction? At what angle above the horizontal does the path in that direction begin?

tuehanhyd8ml 2022-05-12

With $f (x) = 7 x^{2} + 7 x + 2$ and $g (x) = x^{3} + 6 x^{2} + 7 x + 4$ , find the derivative of the compostion f(g(x)).

Jayla Faulkner 2022-05-12

Find the derivative of $\sqrt{2 + 4 \sin (\frac{π x}{4})}$ .

Daphne Fry 2022-05-12

Find the derivative of $\tan (\frac{1}{4} π (2 + x + 6 x^{2} + 7 x^{3} + 4 x^{4}))$ .

datomerki8a5yj 2022-05-12

Find the derivative of $\cos (\frac{1}{2} π e^{6 + 4 x})$ .

Tristan Meyers 2022-05-12

Find the derivative of $\ln (7 + 3 (5 x + 6 x^{2} + 3 x^{4} + 6 x^{5}))$ .

One of the most famous and challenging aspects of learning calculus and analysis is dealing with differential calculus equations that are not too complex per se if you have an example of differential calculus sample problems that contain both answers and questions. It is recommended to use your logic and see how differential calculus problems are formed with the help of several equations where you must be solving equations with decimals, functions and their derivatives. These are used to calculate the flow of electricity, model some motion, or set the energy flow of an object in a graphical form.

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