Question

3. Use implicit differentiation to find $\frac{dy}{dx}$. $x^8 - 7xy + y^8 = 12$ 6. Evaluate. $\int_{-3}^{6} 2x \cdot (5x^2 - 4)^3 dx$ 7. Evaluate. $\lim_{x \to 0} \frac{sin(3x)}{sin(4x)}$ 8. Evaluate. $\int \frac{11x + 4}{11x^2 + 8x + 3} dx$ Evaluate. $\int 3x \cdot \sqrt{x + 1} dx$

          3. Use implicit differentiation to find $\frac{dy}{dx}$.
$x^8 - 7xy + y^8 = 12$
6. Evaluate.
$\int_{-3}^{6} 2x \cdot (5x^2 - 4)^3 dx$
7. Evaluate.
$\lim_{x \to 0} \frac{sin(3x)}{sin(4x)}$
8. Evaluate.
$\int \frac{11x + 4}{11x^2 + 8x + 3} dx$
Evaluate.
$\int 3x \cdot \sqrt{x + 1} dx$

3. Use implicit differentiation to find (dy)/(dx).
x^8 - 7xy + y^8 = 12
6. Evaluate.
∫-3^6 2x · (5x^2 - 4)^3 dx
7. Evaluate.
limx → 0(sin(3x))/(sin(4x))
8. Evaluate.
∫(11x + 4)/(11x^2 + 8x + 3) dx
Evaluate.
∫ 3x ·√(x + 1) dx

Added by Rebecca P.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/24/2023

Step 1

Step 1: Differentiate both sides of the equation with respect to $x$. Show more…

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3. Use implicit differentiation to find $$ \frac{dy}{dx} $$. $$ x^8 - 7xy + y^8 = 12 $$ 6. Evaluate. $$ \int_{-3}^6 2x \cdot (5x^2 - 4)^3 dx $$ 7. Evaluate. $$ \lim_{x \to 0} \frac{sin(3x)}{sin(4x)} $$ 8. Evaluate. $$ \int \frac{11x + 4}{11x^2 + 8x + 3} dx $$ Evaluate. $$ \int 3x \cdot \sqrt{x + 1} dx $$