Pregunta: PART A: - SELECT THE CORRECT ANSWER TO EACH STATEMENT. IF NO CORRECT ANSWER IS GIVE, MARK E. \#1 Find f′(x) if f(x)=7ex−2x4. A) 7ex−8x3 B) 7ex−1−8x4 C) 7ex−8x4 D) 7ex−4x3 \#2 Find dxdy if lnx4−4e2x+3x2 A) x4−4e2x+6x B) x4−8ex+6x C) e34−8ex+6 D) x4−8e2x+6x \#3) Find dxdy if y=e−x3 A) −x3e−x2 B) −3x2e−x3 C) x3e−x21 D) e−3x2 \#4) Find dxdy if xey+1=xy A) 0 B)

PART A: - SELECT THE CORRECT ANSWER TO EACH STATEMENT. IF NO CORRECT ANSWER IS GIVE, MARK E. \#1 Find $f^{\prime }(x)$ if $f(x)=7e^x-2x^4$. A) $7e^x-8x^3$ B) $7e^{x-1}-8x^4$ C) $7e^x-8x^4$ D) $7e^x-4x^3$ \#2 Find $\frac{dy}{dx}$ if $\ln x^4-4e^{2x}+3x^2$ A) $\frac{4}{x}-4e^{2x}+6x$ B) $\frac{4}{x}-8e^x+6x$ C) $\frac{4}{e^3}-8e^x+6$ D) $\frac{4}{x}-8e^{2x}+6x$ \#3) Find $\frac{dy}{dx}$ if $y=e^{-x^3}$ A) $-x^3{e}^{-x^2}$ B) $-3x^2{e}^{-x^3}$ C) $\frac{1}{x^3{e}^{-x^2}}$ D) $e^{-3x^2}$ \#4) Find $\frac{dy}{dx}$ if $x{e}^y+1=xy$ A) 0 B) $\frac{y-e^y}{x{e}^y-x}$ C) $\frac{y}{e^{y-x}}$ D) $\frac{e^y}{x{e}^y-1}$ \#5) Find $\frac{dy}{dx}$ for $y=\ln (5-x{)}^6$ A) $\frac{1}{(5-x{)}^6}$ B) $\frac{-6}{5-x}$ C) $-6(5-x{)}^5$ D) $6(5-x{)}^5$ \#6) Find $\frac{dy}{dx}$ for $y=\ln \sqrt{x^2-6}$ A) $\frac{1}{x}$ B) $\frac{1}{x^2-6}$ C) $\frac{x}{x^2-6}$ D) $\frac{2x}{\sqrt{x^2-6}}$ \#7) Find $f^{\prime }(x)$ if $f(x)=\frac{3}{4x-e^{3x}}$ A) $\frac{3}{(4x-e^{3x{)}^2}}$ B) $\frac{3\left(3e^{3x}-4\right)}{{\left(e^{3x}-4x\right)}^2}$ C) $\frac{3}{4-3e^{3x}}$ D) $\frac{\left(4+3e^{3x}\right)}{(4x-e^{3x{)}^2}}$ \#8) Find the second derivative of the function $f(x)=e^{-7x^3}$ A) $-7x^3{e}^{7x^2-1}$ B) $-21x^2{e}^{-7x^3}$ C) $7x^3\left(7x^3+1\right)e^{-7x^2-2}$ D) $21x\left(21x^3-2\right)e^{-7x^3}$ Evaluate: $\int 8dx$ A) $0+C$ B) $8+C$ C) $x+8+c$ D) $8x+C$ \#10) Evaluate: $\int \left(3x^3-2x^2+5\right)dx$ A) $9x^2-4x+C$ B) $9x^4-8x^6+60x+C$ C) $\frac{3}{4}{x}^4-\frac{2}{3}{x}^3+C$ (D) $\frac{3}{x}{x}^4-\frac{2}{3}{x}^3+5x+C$