If you were to drag a 200 pound object along a horizontal surface, then the smallest force F that is necessary to drag that object is given by $F ( \theta ) = \frac { 200 k } { \cos \theta + k \sin \theta }$ where $\theta$ is the angle (in radians) your arm makes with the ground and k 0 is the coefficient of friction for the surface. Find a formula for $F ^ { \prime } ( \theta ) \text { for } 0 \leq \theta \leq \frac { \pi } { 2 }$

Question

If you were to drag a 200 pound object along a horizontal surface, then the smallest force F that is necessary to drag that object is given by $F ( \theta ) = \frac { 200 k } { \cos \theta + k \sin \theta }$ where $\theta$ is the angle (in radians) your arm makes with the ground and k > 0 is the coefficient of friction for the surface. Find a formula for $F ^ { \prime } ( \theta ) \text { for } 0 \leq \theta \leq \frac { \pi } { 2 }$

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The Answer of If you were to drag a 200 pound object along a horizontal surface, then the smallest force F that is necessary to drag that object is given by $F ( \theta ) = \frac { 200 k } { \cos \theta + k \sin \theta }$ where $\theta$ is the angle (in radians) your arm makes with the ground and k > 0 is the coefficient of friction for the surface. Find a formula for $F ^ { \prime } ( \theta ) \text { for } 0 \leq \theta \leq \frac { \pi } { 2 }$

If You Were to Drag a 200 Pound Object Along F(θ)=200kcos⁡θ+ksin⁡θF ( \theta ) = \frac { 200 k } { \cos \theta + k \sin \theta }F(θ)=cosθ+ksinθ200k​

If You Were to Drag a 200 Pound Object Along $F ( \theta ) = \frac { 200 k } { \cos \theta + k \sin \theta }$