# Get help with differential calculus problems

Recent questions in Differential Calculus
Limits and continuity

### Evaluate the following limit using the substitution $$\displaystyle{t}={x}^{{{6}}}$$ $$\displaystyle\lim_{{{t}\rightarrow{1}}}{b}{i}{g}{g{{\left({\frac{{\sqrt{{{3}}}{\left\lbrace{t}\right\rbrace}-{1}}}{{\sqrt{{{t}}}-{1}}}}{b}{i}{g}{g}\right)}}}$$

Analyzing functions

Derivatives

### Find the derivative of $$\displaystyle{f{{\left({x}\right)}}}={e}^{{-{3}{x}}}$$

Analyzing functions

### Find the integer a such that $$\displaystyle{a}\equiv-{15}{\left({b}\text{mod}{27}\right)}\ {\quad\text{and}\quad}\ -{26}\leq{a}\leq{0}$$

Limits and continuity

### Find the following limits 1) $$\displaystyle\lim_{{{x}\to{0}}}\frac{{\tan{{\left({4}{x}\right)}}}}{{{x}+{\sin{{\left({2}{x}\right)}}}}}$$ 2) $$\displaystyle\lim_{{{x}\to\infty}}{\left({e}^{{{2}{x}}}+{x}\right)}^{{\frac{{1}}{{x}}}}$$

Analyzing functions

### Find the integer a such that $$\displaystyle{a}\equiv{24}{\left({b}\text{mod}{31}\right)}\ {\quad\text{and}\quad}\ -{15}\leq{a}\leq{15}$$

Analyzing functions

### If f(x) = 4x - 3, show that f(2x) = 2f(x) + 3

Limits and continuity

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

Derivatives

### Find derivatives for the functions. Assume a, b, c, and k are constants. $$y=17x+24x^{1x2F2}$$

Limits and continuity